2656946016 has 384 divisors, whose sum is σ = 8825241600. Its totient is φ = 773245440.

The previous prime is 2656946003. The next prime is 2656946029. The reversal of 2656946016 is 6106496562.

2656946016 is a `hidden beast` number, since 26 + 569 + 4 + 60 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2656946003) and next prime (2656946029).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11704495 + ... + 11704721.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 2^2656946016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2656946016 is an abundant number, since it is smaller than the sum of its proper divisors (6168295584).

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

2656946016 is a wasteful number, since it uses less digits than its factorization.

2656946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2656946016 is about 51545.5722249739. The cubic root of 2656946016 is about 1385.0355164729.

The spelling of 2656946016 in words is "two billion, six hundred fifty-six million, nine hundred forty-six thousand, sixteen".