2413604960 has 192 divisors, whose sum is σ = 6521860800. Its totient is φ = 836739072.

The previous prime is 2413604951. The next prime is 2413604969. The reversal of 2413604960 is 694063142.

It is an interprime number because it is at equal distance from previous prime (2413604951) and next prime (2413604969).

It is a self number, because there is not a number n which added to its sum of digits gives 2413604960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413604969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6204446 + ... + 6204834.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 2^2413604960 is an apocalyptic number.

2413604960 is a gapful number since it is divisible by the number (20) 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 2413604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260930400).

2413604960 is an abundant number, since it is smaller than the sum of its proper divisors (4108255840).

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

2413604960 is a wasteful number, since it uses less digits than its factorization.

2413604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2413604960 is about 49128.4536699457. The cubic root of 2413604960 is about 1341.3910259887.

The spelling of 2413604960 in words is "two billion, four hundred thirteen million, six hundred four thousand, nine hundred sixty".