2472831360 has 384 divisors, whose sum is σ = 9015420960. Its totient is φ = 623738880.

The previous prime is 2472831349. The next prime is 2472831409. The reversal of 2472831360 is 631382742.

It is a happy number.

2472831360 is a `hidden beast` number, since 247 + 28 + 31 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2472831360² = 12229789869998899200, 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, 8737779 + ... + 8738061.

Almost surely, 2^2472831360 is an apocalyptic number.

2472831360 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 2472831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507710480).

2472831360 is an abundant number, since it is smaller than the sum of its proper divisors (6542589600).

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

2472831360 is a wasteful number, since it uses less digits than its factorization.

2472831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

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

The square root of 2472831360 is about 49727.5714267246. The cubic root of 2472831360 is about 1352.2744211465.

The spelling of 2472831360 in words is "two billion, four hundred seventy-two million, eight hundred thirty-one thousand, three hundred sixty".