2646856033920 has 2048 divisors, whose sum is σ = 11729836800000. Its totient is φ = 561842749440.

The previous prime is 2646856033897. The next prime is 2646856033931. The reversal of 2646856033920 is 293306586462.

It is a happy number.

2646856033920 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 8 + 5 + 603 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 10982805000 + ... + 10982805240.

It is an arithmetic number, because the mean of its divisors is an integer number (5727459375).

Almost surely, 2^{2646856033920} is an apocalyptic number.

2646856033920 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 2646856033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864918400000).

2646856033920 is an abundant number, since it is smaller than the sum of its proper divisors (9082980766080).

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

2646856033920 is a wasteful number, since it uses less digits than its factorization.

2646856033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2646856033920 in words is "two trillion, six hundred forty-six billion, eight hundred fifty-six million, thirty-three thousand, nine hundred twenty".