2892864 has 112 divisors (see below), whose sum is σ = 8818880. Its totient is φ = 829440.

The previous prime is 2892853. The next prime is 2892881. The reversal of 2892864 is 4682982.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

Its product of digits (55296) is a multiple of the sum of its prime factors (108).

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, 47394 + ... + 47454.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

2^2892864 is an apocalyptic number.

2892864 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 2892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409440).

2892864 is an abundant number, since it is smaller than the sum of its proper divisors (5926016).

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

2892864 is a wasteful number, since it uses less digits than its factorization.

2892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2892864 is about 1700.8421443509. The cubic root of 2892864 is about 142.4872503213.

The spelling of 2892864 in words is "two million, eight hundred ninety-two thousand, eight hundred sixty-four".