2760413656 has 96 divisors (see below), whose sum is σ = 7002162720. Its totient is φ = 992724480.

The previous prime is 2760413647. The next prime is 2760413657. The reversal of 2760413656 is 6563140672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760413657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72420 + ... + 103756.

It is an arithmetic number, because the mean of its divisors is an integer number (72939195).

Almost surely, 2^2760413656 is an apocalyptic number.

2760413656 is a gapful number since it is divisible by the number (26) 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 2760413656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501081360).

2760413656 is an abundant number, since it is smaller than the sum of its proper divisors (4241749064).

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

2760413656 is a wasteful number, since it uses less digits than its factorization.

2760413656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31385 (or 31370 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 2760413656 is about 52539.6389024515. The cubic root of 2760413656 is about 1402.7858907130.

The spelling of 2760413656 in words is "two billion, seven hundred sixty million, four hundred thirteen thousand, six hundred fifty-six".