2600064640 has 64 divisors (see below), whose sum is σ = 6290796960. Its totient is φ = 1027474432.

The previous prime is 2600064613. The next prime is 2600064653. The reversal of 2600064640 is 464600062.

2600064640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2600064640² = 13520672264356659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2600064599 and 2600064608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28647 + ... + 77593.

Almost surely, 2^2600064640 is an apocalyptic number.

2600064640 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 2600064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145398480).

2600064640 is an abundant number, since it is smaller than the sum of its proper divisors (3690732320).

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

2600064640 is an equidigital number, since it uses as much as digits as its factorization.

2600064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49049 (or 49037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2600064640 is about 50990.8289793371. The cubic root of 2600064640 is about 1375.0802624222.

The spelling of 2600064640 in words is "two billion, six hundred million, sixty-four thousand, six hundred forty".