2872464 has 80 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 802944.

The previous prime is 2872459. The next prime is 2872481. The reversal of 2872464 is 4642782.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 27837 + ... + 27939.

2^2872464 is an apocalyptic number.

2872464 is a gapful number since it is divisible by the number (24) 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 2872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2872464 is an abundant number, since it is smaller than the sum of its proper divisors (5793648).

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

2872464 is a wasteful number, since it uses less digits than its factorization.

2872464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2872464 is about 1694.8345051951. The cubic root of 2872464 is about 142.1515277274.

The spelling of 2872464 in words is "two million, eight hundred seventy-two thousand, four hundred sixty-four".