2430515057152 has 320 divisors, whose sum is σ = 6025414348800. Its totient is φ = 953769738240.

The previous prime is 2430515057129. The next prime is 2430515057197. The reversal of 2430515057152 is 2517505150342.

It is a super-2 number, since 2×2430515057152² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5536480549 + ... + 5536480987.

It is an arithmetic number, because the mean of its divisors is an integer number (18829419840).

Almost surely, 2^{2430515057152} 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 2430515057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012707174400).

2430515057152 is an abundant number, since it is smaller than the sum of its proper divisors (3594899291648).

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

2430515057152 is a wasteful number, since it uses less digits than its factorization.

2430515057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 2430515057152 in words is "two trillion, four hundred thirty billion, five hundred fifteen million, fifty-seven thousand, one hundred fifty-two".