2425365504 has 297 divisors, whose sum is σ = 7675064787. Its totient is φ = 765904896.

The previous prime is 2425365463. The next prime is 2425365521. The reversal of 2425365504 is 4055635242.

The square root of 2425365504 is 49248.

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

2425365504 is a `hidden beast` number, since 2 + 42 + 53 + 65 + 504 = 666.

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, 127650807 + ... + 127650825.

Almost surely, 2^2425365504 is an apocalyptic number.

2425365504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2425365504 is the 49248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425365504

2425365504 is an abundant number, since it is smaller than the sum of its proper divisors (5249699283).

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

2425365504 is an frugal number, since it uses more digits than its factorization.

2425365504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The cubic root of 2425365504 is about 1343.5661865203.

Multiplying 2425365504 by its sum of digits (36), we get a square (87313158144 = 295488²).

2425365504 divided by its sum of digits (36) gives a square (67371264 = 8208²).

The spelling of 2425365504 in words is "two billion, four hundred twenty-five million, three hundred sixty-five thousand, five hundred four".