2512400976 has 200 divisors, whose sum is σ = 7518804480. Its totient is φ = 809512704.

The previous prime is 2512400971. The next prime is 2512400987. The reversal of 2512400976 is 6790042152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2512400976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512400971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5426121 + ... + 5426583.

Almost surely, 2^2512400976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512400976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759402240).

2512400976 is an abundant number, since it is smaller than the sum of its proper divisors (5006403504).

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

2512400976 is a wasteful number, since it uses less digits than its factorization.

2512400976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2512400976 is about 50123.8563560307. The cubic root of 2512400976 is about 1359.4492031409.

The spelling of 2512400976 in words is "two billion, five hundred twelve million, four hundred thousand, nine hundred seventy-six".