2461596960 has 48 divisors (see below), whose sum is σ = 7754031936. Its totient is φ = 656425728.

The previous prime is 2461596901. The next prime is 2461596967. The reversal of 2461596960 is 696951642.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2461596967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563684 + ... + 2564643.

It is an arithmetic number, because the mean of its divisors is an integer number (161542332).

Almost surely, 2^2461596960 is an apocalyptic number.

2461596960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461596960 is an abundant number, since it is smaller than the sum of its proper divisors (5292434976).

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

2461596960 is a wasteful number, since it uses less digits than its factorization.

2461596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128345 (or 5128337 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 2461596960 is about 49614.4833692743. The cubic root of 2461596960 is about 1350.2234582090.

The spelling of 2461596960 in words is "two billion, four hundred sixty-one million, five hundred ninety-six thousand, nine hundred sixty".