2425958400 has 312 divisors, whose sum is σ = 8227040400. Its totient is φ = 630456320.

The previous prime is 2425958393. The next prime is 2425958407. The reversal of 2425958400 is 48595242.

It is an interprime number because it is at equal distance from previous prime (2425958393) and next prime (2425958407).

It is not an unprimeable number, because it can be changed into a prime (2425958407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16281526 + ... + 16281674.

Almost surely, 2^2425958400 is an apocalyptic number.

2425958400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113520200).

2425958400 is an abundant number, since it is smaller than the sum of its proper divisors (5801082000).

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

2425958400 is a wasteful number, since it uses less digits than its factorization.

2425958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2425958400 is about 49254.0191253465. The cubic root of 2425958400 is about 1343.6756586960.

It can be divided in two parts, 24 and 25958400, that multiplied together give a square (623001600 = 24960²).

The spelling of 2425958400 in words is "two billion, four hundred twenty-five million, nine hundred fifty-eight thousand, four hundred".