2741143680 has 960 divisors, whose sum is σ = 11818699200. Its totient is φ = 602173440.

The previous prime is 2741143637. The next prime is 2741143709. The reversal of 2741143680 is 863411472.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 119180149 + ... + 119180171.

It is an arithmetic number, because the mean of its divisors is an integer number (12311145).

It is a vampire number, since it can be written as 31464 ⋅ 87120 (with its own digits).

Almost surely, 2^2741143680 is an apocalyptic number.

2741143680 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 2741143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909349600).

2741143680 is an abundant number, since it is smaller than the sum of its proper divisors (9077555520).

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

2741143680 is a wasteful number, since it uses less digits than its factorization.

2741143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2741143680 is about 52355.9326151297. The cubic root of 2741143680 is about 1399.5140626441.

The spelling of 2741143680 in words is "two billion, seven hundred forty-one million, one hundred forty-three thousand, six hundred eighty".