2813241600 has 729 divisors, whose sum is σ = 11569521873. Its totient is φ = 651755520.

The previous prime is 2813241547. The next prime is 2813241601. The reversal of 2813241600 is 61423182.

The square root of 2813241600 is 53040.

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

2813241600 is a `hidden beast` number, since 2 + 8 + 13 + 2 + 41 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2048829696 + 764411904 = 45264^2 + 27648^2 .

It is not an unprimeable number, because it can be changed into a prime (2813241601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 165484792 + ... + 165484808.

Almost surely, 2^2813241600 is an apocalyptic number.

2813241600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2813241600 is the 53040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813241600

2813241600 is an abundant number, since it is smaller than the sum of its proper divisors (8756280273).

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

2813241600 is a wasteful number, since it uses less digits than its factorization.

2813241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 2813241600 is about 1411.6780986086.

Multiplying 2813241600 by its product of nonzero digits (2304), we get a square (6481708646400 = 2545920²).

2813241600 divided by its product of nonzero digits (2304) gives a square (1221025 = 1105²).

Adding to 2813241600 its reverse (61423182), we get a palindrome (2874664782).

The spelling of 2813241600 in words is "two billion, eight hundred thirteen million, two hundred forty-one thousand, six hundred".