2472140160 has 576 divisors, whose sum is σ = 10475665200. Its totient is φ = 534159360.

The previous prime is 2472140149. The next prime is 2472140161. The reversal of 2472140160 is 610412742.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2472140160² = 12222953941369651200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472140161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362330 + ... + 5362790.

Almost surely, 2^2472140160 is an apocalyptic number.

2472140160 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 2472140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237832600).

2472140160 is an abundant number, since it is smaller than the sum of its proper divisors (8003525040).

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

2472140160 is a wasteful number, since it uses less digits than its factorization.

2472140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2472140160 is about 49720.6210741580. The cubic root of 2472140160 is about 1352.1484145513.

The spelling of 2472140160 in words is "two billion, four hundred seventy-two million, one hundred forty thousand, one hundred sixty".