2512238976 has 448 divisors, whose sum is σ = 8584422000. Its totient is φ = 725594112.

The previous prime is 2512238951. The next prime is 2512239001. The reversal of 2512238976 is 6798322152.

2512238976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2512238951) and next prime (2512239001).

It is a super-2 number, since 2×2512238976² = 12622689345067057152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23048010 + ... + 23048118.

Almost surely, 2^2512238976 is an apocalyptic number.

2512238976 is a gapful number since it is divisible by the number (26) 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 2512238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292211000).

2512238976 is an abundant number, since it is smaller than the sum of its proper divisors (6072183024).

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

2512238976 is a wasteful number, since it uses less digits than its factorization.

2512238976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2512238976 is about 50122.2403330099. The cubic root of 2512238976 is about 1359.4199833485.

The spelling of 2512238976 in words is "two billion, five hundred twelve million, two hundred thirty-eight thousand, nine hundred seventy-six".