2408253120 has 560 divisors, whose sum is σ = 10553809728. Its totient is φ = 507617280.

The previous prime is 2408253109. The next prime is 2408253131. The reversal of 2408253120 is 213528042.

2408253120 is a `hidden beast` number, since 2 + 408 + 253 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2408253109) and next prime (2408253131).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358210 + ... + 2359230.

Almost surely, 2^2408253120 is an apocalyptic number.

2408253120 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 2408253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276904864).

2408253120 is an abundant number, since it is smaller than the sum of its proper divisors (8145556608).

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

2408253120 is a wasteful number, since it uses less digits than its factorization.

2408253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2408253120 is about 49073.9556180261. The cubic root of 2408253120 is about 1340.3988416975.

The spelling of 2408253120 in words is "two billion, four hundred eight million, two hundred fifty-three thousand, one hundred twenty".