2383880625 has 225 divisors, whose sum is σ = 5348851101. Its totient is φ = 1054620000.

The previous prime is 2383880623. The next prime is 2383880647. The reversal of 2383880625 is 5260883832.

The square root of 2383880625 is 48825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 186896241 + 2196984384 = 13671^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2383880625 - 2¹ = 2383880623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2383880623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 76899360 + ... + 76899390.

Almost surely, 2^2383880625 is an apocalyptic number.

2383880625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2383880625 is the 48825-th square number.

2383880625 is the 24413-rd centered octagonal number.

It is an amenable number.

2383880625 is an abundant number, since it is smaller than the sum of its proper divisors (2964970476).

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

2383880625 is an frugal number, since it uses more digits than its factorization.

2383880625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The cubic root of 2383880625 is about 1335.8617085349.

The spelling of 2383880625 in words is "two billion, three hundred eighty-three million, eight hundred eighty thousand, six hundred twenty-five".