2695613680 has 80 divisors (see below), whose sum is σ = 6566436864. Its totient is φ = 1027825920.

The previous prime is 2695613677. The next prime is 2695613681. The reversal of 2695613680 is 863165962.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2695613680² = 14532666223606284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2695613680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695613681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158049 + ... + 174271.

Almost surely, 2^2695613680 is an apocalyptic number.

2695613680 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 2695613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283218432).

2695613680 is an abundant number, since it is smaller than the sum of its proper divisors (3870823184).

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

2695613680 is a wasteful number, since it uses less digits than its factorization.

2695613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 2695613680 is about 51919.2996871106. The cubic root of 2695613680 is about 1391.7221860473.

It can be divided in two parts, 26 and 95613680, that added together give a triangular number (95613706 = T₁₃₈₂₈).

The spelling of 2695613680 in words is "two billion, six hundred ninety-five million, six hundred thirteen thousand, six hundred eighty".