2972786544 has 240 divisors, whose sum is σ = 10358712000. Its totient is φ = 774918144.

The previous prime is 2972786513. The next prime is 2972786561. The reversal of 2972786544 is 4456872792.

2972786544 is a `hidden beast` number, since 2 + 97 + 2 + 7 + 8 + 6 + 544 = 666.

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, 1164982 + ... + 1167530.

It is an arithmetic number, because the mean of its divisors is an integer number (43161300).

Almost surely, 2^2972786544 is an apocalyptic number.

2972786544 is a gapful number since it is divisible by the number (24) 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 2972786544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179356000).

2972786544 is an abundant number, since it is smaller than the sum of its proper divisors (7385925456).

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

2972786544 is a wasteful number, since it uses less digits than its factorization.

2972786544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2663 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2972786544 is about 54523.2660797205. The cubic root of 2972786544 is about 1437.8753621301.

The spelling of 2972786544 in words is "two billion, nine hundred seventy-two million, seven hundred eighty-six thousand, five hundred forty-four".