2862464004 has 81 divisors (see below), whose sum is σ = 7467501951. Its totient is φ = 924514560.

The previous prime is 2862463999. The next prime is 2862464051. The reversal of 2862464004 is 4004642682.

It is a happy number.

The square root of 2862464004 is 53502.

It is a perfect power (a square), and thus also a powerful number.

2862464004 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 4 + 640 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1242562500 + 1619901504 = 35250^2 + 40248^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2862464004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11877324 + ... + 11877564.

Almost surely, 2^2862464004 is an apocalyptic number.

2862464004 is the 53502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2862464004

2862464004 is an abundant number, since it is smaller than the sum of its proper divisors (4605037947).

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

2862464004 is a wasteful number, since it uses less digits than its factorization.

2862464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The cubic root of 2862464004 is about 1419.8637712333.

Multiplying 2862464004 by its sum of digits (36), we get a square (103048704144 = 321012²).

2862464004 divided by its sum of digits (36) gives a square (79512889 = 8917²).

The spelling of 2862464004 in words is "two billion, eight hundred sixty-two million, four hundred sixty-four thousand, four".