2512424470400 has 768 divisors, whose sum is σ = 7020178804800. Its totient is φ = 882612633600.

The previous prime is 2512424470373. The next prime is 2512424470471. The reversal of 2512424470400 is 40744242152.

It is a congruent number.

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, 14522684714 + ... + 14522684886.

Almost surely, 2^{2512424470400} is an apocalyptic number.

2512424470400 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 2512424470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510089402400).

2512424470400 is an abundant number, since it is smaller than the sum of its proper divisors (4507754334400).

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

2512424470400 is a wasteful number, since it uses less digits than its factorization.

2512424470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 35.

The spelling of 2512424470400 in words is "two trillion, five hundred twelve billion, four hundred twenty-four million, four hundred seventy thousand, four hundred".