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2543374080 = 28355131737
BaseRepresentation
bin1001011110011000…
…1100111100000000
320120020210210100000
42113212030330000
520202100432310
61100213200000
7120012215532
oct22746147400
96506723300
102543374080
111095739655
125ab930000
13316c079a0
141a1b01852
15ed4474c0
hex9798cf00

2543374080 has 864 divisors, whose sum is σ = 10687045824. Its totient is φ = 573308928.

The previous prime is 2543374061. The next prime is 2543374091. The reversal of 2543374080 is 804733452.

It is a happy number.

2543374080 is a `hidden beast` number, since 2 + 543 + 37 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68739822 + ... + 68739858.

It is an arithmetic number, because the mean of its divisors is an integer number (12369266).

Almost surely, 22543374080 is an apocalyptic number.

2543374080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2543374080 is an abundant number, since it is smaller than the sum of its proper divisors (8143671744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2543374080 is a wasteful number, since it uses less digits than its factorization.

2543374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2543374080 is about 50431.8756343644. The cubic root of 2543374080 is about 1365.0128727200.

The spelling of 2543374080 in words is "two billion, five hundred forty-three million, three hundred seventy-four thousand, eighty".