2461537889664 has 768 divisors, whose sum is σ = 8106260198400. Its totient is φ = 658920407040.

The previous prime is 2461537889653. The next prime is 2461537889693. The reversal of 2461537889664 is 4669887351642.

2461537889664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2369140857 + ... + 2369141895.

It is an arithmetic number, because the mean of its divisors is an integer number (10555026300).

Almost surely, 2^{2461537889664} is an apocalyptic number.

2461537889664 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 2461537889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053130099200).

2461537889664 is an abundant number, since it is smaller than the sum of its proper divisors (5644722308736).

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

2461537889664 is a wasteful number, since it uses less digits than its factorization.

2461537889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1212 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 2461537889664 in words is "two trillion, four hundred sixty-one billion, five hundred thirty-seven million, eight hundred eighty-nine thousand, six hundred sixty-four".