2500326746400 has 576 divisors, whose sum is σ = 9359888428800. Its totient is φ = 567912038400.

The previous prime is 2500326746369. The next prime is 2500326746413. The reversal of 2500326746400 is 46476230052.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383533076 + ... + 2383534124.

It is an arithmetic number, because the mean of its divisors is an integer number (16249806300).

Almost surely, 2^{2500326746400} is an apocalyptic number.

2500326746400 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 2500326746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679944214400).

2500326746400 is an abundant number, since it is smaller than the sum of its proper divisors (6859561682400).

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

2500326746400 is a wasteful number, since it uses less digits than its factorization.

2500326746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2500326746400 in words is "two trillion, five hundred billion, three hundred twenty-six million, seven hundred forty-six thousand, four hundred".