2460581253376 has 243 divisors, whose sum is σ = 5357720250351. Its totient is φ = 1127602225152.

The previous prime is 2460581253301. The next prime is 2460581253391. The reversal of 2460581253376 is 6733521850642.

The square root of 2460581253376 is 1568624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 310721515776 + 2149859737600 = 557424^2 + 1466240^2 .

It is a super-2 number, since 2×2460581253376² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31146598105 + ... + 31146598183.

Almost surely, 2^{2460581253376} is an apocalyptic number.

2460581253376 is the 1568624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2460581253376

2460581253376 is an abundant number, since it is smaller than the sum of its proper divisors (2897138996975).

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

2460581253376 is an frugal number, since it uses more digits than its factorization.

2460581253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 2460581253376 in words is "two trillion, four hundred sixty billion, five hundred eighty-one million, two hundred fifty-three thousand, three hundred seventy-six".