2972854440 has 128 divisors (see below), whose sum is σ = 9926928000. Its totient is φ = 791368704.

The previous prime is 2972854411. The next prime is 2972854441. The reversal of 2972854440 is 444582792.

2972854440 is a `hidden beast` number, since 297 + 285 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2972854441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709632 + ... + 713808.

It is an arithmetic number, because the mean of its divisors is an integer number (77554125).

Almost surely, 2^2972854440 is an apocalyptic number.

2972854440 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 2972854440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963464000).

2972854440 is an abundant number, since it is smaller than the sum of its proper divisors (6954073560).

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

2972854440 is a wasteful number, since it uses less digits than its factorization.

2972854440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2972854440 is about 54523.8887094455. Note that the first 3 decimals coincide. The cubic root of 2972854440 is about 1437.8863086770.

The spelling of 2972854440 in words is "two billion, nine hundred seventy-two million, eight hundred fifty-four thousand, four hundred forty".