2608820640400 has 60 divisors (see below), whose sum is σ = 6749821724212. Its totient is φ = 963256849920.

The previous prime is 2608820640379. The next prime is 2608820640401. The reversal of 2608820640400 is 40460288062.

It can be written as a sum of positive squares in 6 ways, for example, as 195105024 + 2608625535376 = 13968^2 + 1615124^2 .

It is a super-2 number, since 2×2608820640400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2608820640401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250842939 + ... + 250853338.

Almost surely, 2^{2608820640400} is an apocalyptic number.

2608820640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2608820640400 is an abundant number, since it is smaller than the sum of its proper divisors (4141001083812).

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

2608820640400 is a wasteful number, since it uses less digits than its factorization.

2608820640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501696308 (or 501696297 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 2608820640400 in words is "two trillion, six hundred eight billion, eight hundred twenty million, six hundred forty thousand, four hundred".