2626256400 has 120 divisors (see below), whose sum is σ = 8430261024. Its totient is φ = 698880000.

The previous prime is 2626256383. The next prime is 2626256401. The reversal of 2626256400 is 46526262.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2626256401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654400 + ... + 658400.

Almost surely, 2^2626256400 is an apocalyptic number.

2626256400 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 2626256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215130512).

2626256400 is an abundant number, since it is smaller than the sum of its proper divisors (5804004624).

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

2626256400 is a wasteful number, since it uses less digits than its factorization.

2626256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2626256400 is about 51247.0135715243. The cubic root of 2626256400 is about 1379.6821364100.

The spelling of 2626256400 in words is "two billion, six hundred twenty-six million, two hundred fifty-six thousand, four hundred".