2461915680 has 96 divisors (see below), whose sum is σ = 8862908544. Its totient is φ = 562722816.

The previous prime is 2461915663. The next prime is 2461915681. The reversal of 2461915680 is 865191642.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2461915680² = 12122057630859724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2461915681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362997 + ... + 369716.

It is an arithmetic number, because the mean of its divisors is an integer number (92321964).

Almost surely, 2^2461915680 is an apocalyptic number.

2461915680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461915680 is an abundant number, since it is smaller than the sum of its proper divisors (6400992864).

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

2461915680 is a wasteful number, since it uses less digits than its factorization.

2461915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732738 (or 732730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2461915680 is about 49617.6952306332. The cubic root of 2461915680 is about 1350.2817299537.

The spelling of 2461915680 in words is "two billion, four hundred sixty-one million, nine hundred fifteen thousand, six hundred eighty".