2864390400 has 243 divisors, whose sum is σ = 10286971149. Its totient is φ = 760412160.

The previous prime is 2864390381. The next prime is 2864390411. The reversal of 2864390400 is 40934682.

It is a happy number.

The square root of 2864390400 is 53520.

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

2864390400 is a `hidden beast` number, since 2 + 8 + 643 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1031180544 + 1833209856 = 32112^2 + 42816^2 .

It is a super-2 number, since 2×2864390400² = 16409464727224320000, which contains 22 as substring.

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

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, 12844689 + ... + 12844911.

Almost surely, 2^2864390400 is an apocalyptic number.

2864390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2864390400 is the 53520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864390400

2864390400 is an abundant number, since it is smaller than the sum of its proper divisors (7422580749).

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

2864390400 is an equidigital number, since it uses as much as digits as its factorization.

2864390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 2864390400 is about 1420.1822155907.

Multiplying 2864390400 by its sum of digits (36), we get a square (103118054400 = 321120²).

2864390400 divided by its sum of digits (36) gives a square (79566400 = 8920²).

The spelling of 2864390400 in words is "two billion, eight hundred sixty-four million, three hundred ninety thousand, four hundred".