2472905160 has 256 divisors, whose sum is σ = 9213523200. Its totient is φ = 584755200.

The previous prime is 2472905137. The next prime is 2472905167. The reversal of 2472905160 is 615092742.

It is a super-2 number, since 2×2472905160² = 12230519860709251200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2472905167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484542 + ... + 489618.

It is an arithmetic number, because the mean of its divisors is an integer number (35990325).

Almost surely, 2^2472905160 is an apocalyptic number.

2472905160 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 2472905160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606761600).

2472905160 is an abundant number, since it is smaller than the sum of its proper divisors (6740618040).

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

2472905160 is a wasteful number, since it uses less digits than its factorization.

2472905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2472905160 is about 49728.3134642630. The cubic root of 2472905160 is about 1352.2878735883.

The spelling of 2472905160 in words is "two billion, four hundred seventy-two million, nine hundred five thousand, one hundred sixty".