2461426871904 has 2304 divisors, whose sum is σ = 10279641415680. Its totient is φ = 538014597120.

The previous prime is 2461426871879. The next prime is 2461426871933. The reversal of 2461426871904 is 4091786241642.

2461426871904 is a `hidden beast` number, since 2 + 4 + 61 + 426 + 8 + 71 + 90 + 4 = 666.

It is a super-2 number, since 2×2461426871904² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19381313889 + ... + 19381314015.

It is an arithmetic number, because the mean of its divisors is an integer number (4461649920).

Almost surely, 2^{2461426871904} is an apocalyptic number.

2461426871904 is a gapful number since it is divisible by the number (24) 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 2461426871904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139820707840).

2461426871904 is an abundant number, since it is smaller than the sum of its proper divisors (7818214543776).

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

2461426871904 is a wasteful number, since it uses less digits than its factorization.

2461426871904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2461426871904 in words is "two trillion, four hundred sixty-one billion, four hundred twenty-six million, eight hundred seventy-one thousand, nine hundred four".