2972949120 has 384 divisors, whose sum is σ = 11016991440. Its totient is φ = 736100352.

The previous prime is 2972949101. The next prime is 2972949151. The reversal of 2972949120 is 219492792.

It can be written as a sum of positive squares in 8 ways, for example, as 643535424 + 2329413696 = 25368^2 + 48264^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9498084 + ... + 9498396.

Almost surely, 2^2972949120 is an apocalyptic number.

2972949120 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 2972949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508495720).

2972949120 is an abundant number, since it is smaller than the sum of its proper divisors (8044042320).

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

2972949120 is a wasteful number, since it uses less digits than its factorization.

2972949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2972949120 is about 54524.7569458132. The cubic root of 2972949120 is about 1437.9015732018.

The spelling of 2972949120 in words is "two billion, nine hundred seventy-two million, nine hundred forty-nine thousand, one hundred twenty".