2652471360 has 672 divisors, whose sum is σ = 11822533632. Its totient is φ = 549918720.

The previous prime is 2652471323. The next prime is 2652471379. The reversal of 2652471360 is 631742562.

2652471360 is a `hidden beast` number, since 2 + 6 + 524 + 71 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5987299 + ... + 5987741.

It is an arithmetic number, because the mean of its divisors is an integer number (17593056).

Almost surely, 2^2652471360 is an apocalyptic number.

2652471360 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 2652471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911266816).

2652471360 is an abundant number, since it is smaller than the sum of its proper divisors (9170062272).

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

2652471360 is a wasteful number, since it uses less digits than its factorization.

2652471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2652471360 is about 51502.1490813733. The cubic root of 2652471360 is about 1384.2575506078.

The spelling of 2652471360 in words is "two billion, six hundred fifty-two million, four hundred seventy-one thousand, three hundred sixty".