2972992 has 56 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 1305600.

The previous prime is 2972971. The next prime is 2973001. The reversal of 2972992 is 2992792.

2972992 = 284² + 285² + ... + 316².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28813 + ... + 28915.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

2^2972992 is an apocalyptic number.

2972992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2972992 is the 1408-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2972992 is an abundant number, since it is smaller than the sum of its proper divisors (3683840).

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

2972992 is a wasteful number, since it uses less digits than its factorization.

2972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 2972992 is about 1724.2366426915. The cubic root of 2972992 is about 143.7908486306.

The spelling of 2972992 in words is "two million, nine hundred seventy-two thousand, nine hundred ninety-two".