2972005344 has 240 divisors, whose sum is σ = 10898084736. Its totient is φ = 771897600.

The previous prime is 2972005321. The next prime is 2972005349. The reversal of 2972005344 is 4435002792.

2972005344 is a `hidden beast` number, since 297 + 20 + 0 + 5 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2972005299 and 2972005308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972005349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192139 + ... + 207029.

Almost surely, 2^2972005344 is an apocalyptic number.

2972005344 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 2972005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449042368).

2972005344 is an abundant number, since it is smaller than the sum of its proper divisors (7926079392).

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

2972005344 is a wasteful number, since it uses less digits than its factorization.

2972005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14931 (or 14914 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2972005344 is about 54516.1016948204. The cubic root of 2972005344 is about 1437.7494010021.

The spelling of 2972005344 in words is "two billion, nine hundred seventy-two million, five thousand, three hundred forty-four".