2457272160 has 384 divisors, whose sum is σ = 10259343360. Its totient is φ = 537090048.

The previous prime is 2457272149. The next prime is 2457272239. The reversal of 2457272160 is 612727542.

It is a happy number.

2457272160 is a `hidden beast` number, since 2 + 4 + 572 + 7 + 21 + 60 = 666.

It is a super-2 number, since 2×2457272160² = 12076372936622131200, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693754 + ... + 697286.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^2457272160 is an apocalyptic number.

2457272160 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 2457272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

2457272160 is an abundant number, since it is smaller than the sum of its proper divisors (7802071200).

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

2457272160 is a wasteful number, since it uses less digits than its factorization.

2457272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2457272160 is about 49570.8801616433. The cubic root of 2457272160 is about 1349.4322550945.

The spelling of 2457272160 in words is "two billion, four hundred fifty-seven million, two hundred seventy-two thousand, one hundred sixty".