2620564457406 has 96 divisors (see below), whose sum is σ = 6139123257600. Its totient is φ = 743541120000.

The previous prime is 2620564457393. The next prime is 2620564457411. The reversal of 2620564457406 is 6047544650262.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181963806 + ... + 181978206.

It is an arithmetic number, because the mean of its divisors is an integer number (63949200600).

Almost surely, 2^{2620564457406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2620564457406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069561628800).

2620564457406 is an abundant number, since it is smaller than the sum of its proper divisors (3518558800194).

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

2620564457406 is a wasteful number, since it uses less digits than its factorization.

2620564457406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670 (or 18663 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 2620564457406 in words is "two trillion, six hundred twenty billion, five hundred sixty-four million, four hundred fifty-seven thousand, four hundred six".