2872431360 has 432 divisors, whose sum is σ = 10687045824. Its totient is φ = 710443008.

The previous prime is 2872431311. The next prime is 2872431391. The reversal of 2872431360 is 631342782.

It is a happy number.

2872431360 is a `hidden beast` number, since 287 + 2 + 4 + 313 + 60 = 666.

It is a super-2 number, since 2×2872431360² = 16501723835822899200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9803374 + ... + 9803666.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^2872431360 is an apocalyptic number.

2872431360 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 2872431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2872431360 is an abundant number, since it is smaller than the sum of its proper divisors (7814614464).

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

2872431360 is a wasteful number, since it uses less digits than its factorization.

2872431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2872431360 is about 53595.0684298472. The cubic root of 2872431360 is about 1421.5098929955.

The spelling of 2872431360 in words is "two billion, eight hundred seventy-two million, four hundred thirty-one thousand, three hundred sixty".