2410113120 has 96 divisors (see below), whose sum is σ = 8038463328. Its totient is φ = 604889088.

The previous prime is 2410113109. The next prime is 2410113131. The reversal of 2410113120 is 213110142.

It is an interprime number because it is at equal distance from previous prime (2410113109) and next prime (2410113131).

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

It is a super-2 number, since 2×2410113120² = 11617290502392268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2410113120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139519 + ... + 155838.

It is an arithmetic number, because the mean of its divisors is an integer number (83733993).

Almost surely, 2^2410113120 is an apocalyptic number.

2410113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2410113120 is an abundant number, since it is smaller than the sum of its proper divisors (5628350208).

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

2410113120 is a wasteful number, since it uses less digits than its factorization.

2410113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295392 (or 295384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2410113120 is about 49092.9029494081. The cubic root of 2410113120 is about 1340.7438359239.

Adding to 2410113120 its reverse (213110142), we get a palindrome (2623223262).

The spelling of 2410113120 in words is "two billion, four hundred ten million, one hundred thirteen thousand, one hundred twenty".