2656892040 has 128 divisors (see below), whose sum is σ = 8741174400. Its totient is φ = 640696320.

The previous prime is 2656892033. The next prime is 2656892053. The reversal of 2656892040 is 402986562.

2656892040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2656891983 and 2656892001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249546 + ... + 259974.

It is an arithmetic number, because the mean of its divisors is an integer number (68290425).

Almost surely, 2^2656892040 is an apocalyptic number.

2656892040 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 2656892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370587200).

2656892040 is an abundant number, since it is smaller than the sum of its proper divisors (6084282360).

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

2656892040 is a wasteful number, since it uses less digits than its factorization.

2656892040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2656892040 is about 51545.0486467905. The cubic root of 2656892040 is about 1385.0261373859.

The spelling of 2656892040 in words is "two billion, six hundred fifty-six million, eight hundred ninety-two thousand, forty".