2696835680 has 384 divisors, whose sum is σ = 8595901440. Its totient is φ = 774144000.

The previous prime is 2696835679. The next prime is 2696835683. The reversal of 2696835680 is 865386962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696835683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9597140 + ... + 9597420.

It is an arithmetic number, because the mean of its divisors is an integer number (22385160).

Almost surely, 2^2696835680 is an apocalyptic number.

2696835680 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 2696835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297950720).

2696835680 is an abundant number, since it is smaller than the sum of its proper divisors (5899065760).

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

2696835680 is a wasteful number, since it uses less digits than its factorization.

2696835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The square root of 2696835680 is about 51931.0666171994. The cubic root of 2696835680 is about 1391.9324569773.

The spelling of 2696835680 in words is "two billion, six hundred ninety-six million, eight hundred thirty-five thousand, six hundred eighty".