2461306401200 has 60 divisors (see below), whose sum is σ = 5928035370888. Its totient is φ = 982067328000.

The previous prime is 2461306401187. The next prime is 2461306401233. The reversal of 2461306401200 is 21046031642.

It is a super-2 number, since 2×2461306401200² (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 11 ways as a sum of consecutive naturals, for example, 7512002 + ... + 7832801.

Almost surely, 2^{2461306401200} is an apocalyptic number.

2461306401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461306401200 is an abundant number, since it is smaller than the sum of its proper divisors (3466728969688).

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

2461306401200 is a wasteful number, since it uses less digits than its factorization.

2461306401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345222 (or 15345211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 2461306401200 in words is "two trillion, four hundred sixty-one billion, three hundred six million, four hundred one thousand, two hundred".