2453815296 has 225 divisors, whose sum is σ = 7505379651. Its totient is φ = 798916608.

The previous prime is 2453815289. The next prime is 2453815327. The reversal of 2453815296 is 6925183542.

The square root of 2453815296 is 49536.

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

2453815296 is a `hidden beast` number, since 2 + 45 + 3 + 81 + 529 + 6 = 666.

Its product of digits (518400) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 57065451 + ... + 57065493.

Almost surely, 2^2453815296 is an apocalyptic number.

2453815296 is the 49536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2453815296

2453815296 is an abundant number, since it is smaller than the sum of its proper divisors (5051564355).

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

2453815296 is an frugal number, since it uses more digits than its factorization.

2453815296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 48 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 2453815296 is about 1348.7991692096.

The spelling of 2453815296 in words is "two billion, four hundred fifty-three million, eight hundred fifteen thousand, two hundred ninety-six".