2640414025728 has 384 divisors, whose sum is σ = 8020402790400. Its totient is φ = 857914195968.

The previous prime is 2640414025679. The next prime is 2640414025741. The reversal of 2640414025728 is 8275204140462.

2640414025728 is a `hidden beast` number, since 2 + 64 + 0 + 4 + 14 + 0 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2640414025728² (a number of 26 digits) contains 22 as substring.

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, 683511925 + ... + 683515787.

It is an arithmetic number, because the mean of its divisors is an integer number (20886465600).

Almost surely, 2^{2640414025728} 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 2640414025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010201395200).

2640414025728 is an abundant number, since it is smaller than the sum of its proper divisors (5379988764672).

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

2640414025728 is a wasteful number, since it uses less digits than its factorization.

2640414025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2640414025728 in words is "two trillion, six hundred forty billion, four hundred fourteen million, twenty-five thousand, seven hundred twenty-eight".