2972799360 has 256 divisors, whose sum is σ = 10652472000. Its totient is φ = 783433728.

The previous prime is 2972799359. The next prime is 2972799371. The reversal of 2972799360 is 639972792.

2972799360 is a `hidden beast` number, since 2 + 9 + 7 + 279 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2972799297 and 2972799306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536954 + ... + 1538886.

Almost surely, 2^2972799360 is an apocalyptic number.

2972799360 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 2972799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326236000).

2972799360 is an abundant number, since it is smaller than the sum of its proper divisors (7679672640).

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

2972799360 is a wasteful number, since it uses less digits than its factorization.

2972799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2972799360 is about 54523.3836074028. The cubic root of 2972799360 is about 1437.8774284052.

The spelling of 2972799360 in words is "two billion, nine hundred seventy-two million, seven hundred ninety-nine thousand, three hundred sixty".