2506454614560 has 192 divisors, whose sum is σ = 8619141702528. Its totient is φ = 608521641984.

The previous prime is 2506454614507. The next prime is 2506454614561. The reversal of 2506454614560 is 654164546052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2506454614561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295682 + ... + 3206721.

It is an arithmetic number, because the mean of its divisors is an integer number (44891363034).

Almost surely, 2^{2506454614560} is an apocalyptic number.

2506454614560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506454614560 is an abundant number, since it is smaller than the sum of its proper divisors (6112687087968).

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

2506454614560 is a wasteful number, since it uses less digits than its factorization.

2506454614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502507 (or 5502499 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 2506454614560 in words is "two trillion, five hundred six billion, four hundred fifty-four million, six hundred fourteen thousand, five hundred sixty".