2462541264 has 100 divisors (see below), whose sum is σ = 7373190660. Its totient is φ = 792529920.

The previous prime is 2462541223. The next prime is 2462541271. The reversal of 2462541264 is 4621452642.

2462541264 is a `hidden beast` number, since 2 + 4 + 625 + 4 + 1 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 1108890000 = 36792^2 + 33300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4824 + ... + 70344.

Almost surely, 2^2462541264 is an apocalyptic number.

2462541264 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 2462541264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686595330).

2462541264 is an abundant number, since it is smaller than the sum of its proper divisors (4910649396).

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

2462541264 is a wasteful number, since it uses less digits than its factorization.

2462541264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65570 (or 65555 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2462541264 is about 49623.9988715138. The cubic root of 2462541264 is about 1350.3960911825.

The spelling of 2462541264 in words is "two billion, four hundred sixty-two million, five hundred forty-one thousand, two hundred sixty-four".