2972560 has 40 divisors (see below), whose sum is σ = 7019640. Its totient is φ = 1170432.

The previous prime is 2972551. The next prime is 2972573. The reversal of 2972560 is 652792.

2972560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 2226064 = 864^2 + 1492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2972560² = 17672225907200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5586 + ... + 6094.

It is an arithmetic number, because the mean of its divisors is an integer number (175491).

2^2972560 is an apocalyptic number.

2972560 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 2972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509820).

2972560 is an abundant number, since it is smaller than the sum of its proper divisors (4047080).

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

2972560 is a wasteful number, since it uses less digits than its factorization.

2972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2972560 is about 1724.1113653126. Note that the first 3 decimals coincide. The cubic root of 2972560 is about 143.7838836320.

The spelling of 2972560 in words is "two million, nine hundred seventy-two thousand, five hundred sixty".