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2068498080 = 2533511192979
BaseRepresentation
bin111101101001010…
…1100011010100000
312100011020120221000
41323102230122200
513214013414310
6541131032000
7102154641435
oct17322543240
95304216830
102068498080
11971682250
1249889b600
1326c70b37c
14158a09b8c
15c18e34c0
hex7b4ac6a0

2068498080 has 768 divisors, whose sum is σ = 8709120000. Its totient is φ = 452874240.

The previous prime is 2068498073. The next prime is 2068498127. The reversal of 2068498080 is 808948602.

It is a happy number.

2068498080 is a `hidden beast` number, since 20 + 68 + 498 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26183481 + ... + 26183559.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 22068498080 is an apocalyptic number.

2068498080 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 2068498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2068498080 is an abundant number, since it is smaller than the sum of its proper divisors (6640621920).

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

2068498080 is a wasteful number, since it uses less digits than its factorization.

2068498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2068498080 is about 45480.7440572381. The cubic root of 2068498080 is about 1274.1435909745.

The spelling of 2068498080 in words is "two billion, sixty-eight million, four hundred ninety-eight thousand, eighty".