2620802907072 has 224 divisors, whose sum is σ = 8837142640640. Its totient is φ = 746096624640.

The previous prime is 2620802907067. The next prime is 2620802907127. The reversal of 2620802907072 is 2707092080262.

2620802907072 is a `hidden beast` number, since 26 + 208 + 0 + 290 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2620802907072² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2959497 + ... + 3741687.

Almost surely, 2^{2620802907072} 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 2620802907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418571320320).

2620802907072 is an abundant number, since it is smaller than the sum of its proper divisors (6216339733568).

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

2620802907072 is a wasteful number, since it uses less digits than its factorization.

2620802907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782496 (or 782480 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2620802907072 in words is "two trillion, six hundred twenty billion, eight hundred two million, nine hundred seven thousand, seventy-two".