2957472 has 120 divisors (see below), whose sum is σ = 10001376. Its totient is φ = 839808.

The previous prime is 2957459. The next prime is 2957477. The reversal of 2957472 is 2747592.

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

It is a d-powerful number, because it can be written as 2 + 9⁵ + 5⁹ + 7⁶ + 4⁶ + 7⁷ + 2³ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18063 + ... + 18225.

2^2957472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000688).

2957472 is an abundant number, since it is smaller than the sum of its proper divisors (7043904).

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

2957472 is a wasteful number, since it uses less digits than its factorization.

2957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2957472 is about 1719.7302113995. The cubic root of 2957472 is about 143.5402000628.

It can be divided in two parts, 29574 and 72, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 2957472 in words is "two million, nine hundred fifty-seven thousand, four hundred seventy-two".