2512491040920 has 512 divisors, whose sum is σ = 8871246489600. Its totient is φ = 557438976000.

The previous prime is 2512491040919. The next prime is 2512491040933. The reversal of 2512491040920 is 290401942152.

It is a super-2 number, since 2×2512491040920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2116672567 + ... + 2116673753.

It is an arithmetic number, because the mean of its divisors is an integer number (17326653300).

Almost surely, 2^{2512491040920} is an apocalyptic number.

2512491040920 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 2512491040920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435623244800).

2512491040920 is an abundant number, since it is smaller than the sum of its proper divisors (6358755448680).

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

2512491040920 is a wasteful number, since it uses less digits than its factorization.

2512491040920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 2512491040920 in words is "two trillion, five hundred twelve billion, four hundred ninety-one million, forty thousand, nine hundred twenty".