2425152400 has 120 divisors (see below), whose sum is σ = 6690866400. Its totient is φ = 835430400.

The previous prime is 2425152329. The next prime is 2425152421. The reversal of 2425152400 is 42515242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69096 + ... + 98104.

It is an arithmetic number, because the mean of its divisors is an integer number (55757220).

Almost surely, 2^2425152400 is an apocalyptic number.

2425152400 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 2425152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345433200).

2425152400 is an abundant number, since it is smaller than the sum of its proper divisors (4265714000).

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

2425152400 is a wasteful number, since it uses less digits than its factorization.

2425152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29057 (or 29046 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2425152400 is about 49245.8363722254. The cubic root of 2425152400 is about 1343.5268346900.

Adding to 2425152400 its reverse (42515242), we get a palindrome (2467667642).

The spelling of 2425152400 in words is "two billion, four hundred twenty-five million, one hundred fifty-two thousand, four hundred".