2461894808800 has 108 divisors (see below), whose sum is σ = 6991341744240. Its totient is φ = 844078206720.

The previous prime is 2461894808771. The next prime is 2461894808803. The reversal of 2461894808800 is 88084981642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461894808803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31362520 + ... + 31440919.

It is an arithmetic number, because the mean of its divisors is an integer number (64734645780).

Almost surely, 2^{2461894808800} is an apocalyptic number.

2461894808800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461894808800 is an abundant number, since it is smaller than the sum of its proper divisors (4529446935440).

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

2461894808800 is a wasteful number, since it uses less digits than its factorization.

2461894808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62803473 (or 62803453 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 58.

The spelling of 2461894808800 in words is "two trillion, four hundred sixty-one billion, eight hundred ninety-four million, eight hundred eight thousand, eight hundred".