2506433257400 has 96 divisors (see below), whose sum is σ = 5865199424640. Its totient is φ = 996098290560.

The previous prime is 2506433257381. The next prime is 2506433257421. The reversal of 2506433257400 is 47523346052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22053119 + ... + 22166481.

It is an arithmetic number, because the mean of its divisors is an integer number (61095827340).

Almost surely, 2^{2506433257400} is an apocalyptic number.

2506433257400 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 2506433257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932599712320).

2506433257400 is an abundant number, since it is smaller than the sum of its proper divisors (3358766167240).

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

2506433257400 is a wasteful number, since it uses less digits than its factorization.

2506433257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114093 (or 114084 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 41.

The spelling of 2506433257400 in words is "two trillion, five hundred six billion, four hundred thirty-three million, two hundred fifty-seven thousand, four hundred".