2972640 has 96 divisors (see below), whose sum is σ = 10233216. Its totient is φ = 719360.

The previous prime is 2972639. The next prime is 2972663. The reversal of 2972640 is 462792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2972598 and 2972607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (106596).

2^2972640 is an apocalyptic number.

2972640 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 2972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116608).

2972640 is an abundant number, since it is smaller than the sum of its proper divisors (7260576).

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

2972640 is a wasteful number, since it uses less digits than its factorization.

2972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2972640 is about 1724.1345655140. The cubic root of 2972640 is about 143.7851734975.

The spelling of 2972640 in words is "two million, nine hundred seventy-two thousand, six hundred forty".