2801064 has 32 divisors (see below), whose sum is σ = 8003520. Its totient is φ = 800256.

The previous prime is 2801047. The next prime is 2801087. The reversal of 2801064 is 4601082.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2801064.

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, 8169 + ... + 8504.

It is an arithmetic number, because the mean of its divisors is an integer number (250110).

2^2801064 is an apocalyptic number.

2801064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2801064 is an abundant number, since it is smaller than the sum of its proper divisors (5202456).

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

2801064 is a wasteful number, since it uses less digits than its factorization.

2801064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16685 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2801064 is about 1673.6379536805. The cubic root of 2801064 is about 140.9638255372.

The spelling of 2801064 in words is "two million, eight hundred one thousand, sixty-four".