2605639680000 has 1350 divisors, whose sum is σ = 10960585682046. Its totient is φ = 594542592000.

The previous prime is 2605639679971. The next prime is 2605639680041. The reversal of 2605639680000 is 869365062.

It is a happy number.

2605639680000 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 639 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 266355081216 + 2339284598784 = 516096^2 + 1529472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4515839712 + ... + 4515840288.

Almost surely, 2^{2605639680000} is an apocalyptic number.

2605639680000 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 2605639680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480292841023).

2605639680000 is an abundant number, since it is smaller than the sum of its proper divisors (8354946002046).

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

2605639680000 is an frugal number, since it uses more digits than its factorization.

2605639680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2605639680000 in words is "two trillion, six hundred five billion, six hundred thirty-nine million, six hundred eighty thousand".