2505152400 has 60 divisors (see below), whose sum is σ = 8024842032. Its totient is φ = 668040320.

The previous prime is 2505152399. The next prime is 2505152407. The reversal of 2505152400 is 42515052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2505152407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042614 + ... + 1045013.

Almost surely, 2^2505152400 is an apocalyptic number.

2505152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505152400 is an abundant number, since it is smaller than the sum of its proper divisors (5519689632).

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

2505152400 is a wasteful number, since it uses less digits than its factorization.

2505152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087648 (or 2087637 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2505152400 is about 50051.4974800954. The cubic root of 2505152400 is about 1358.1405528494.

Adding to 2505152400 its reverse (42515052), we get a palindrome (2547667452).

The spelling of 2505152400 in words is "two billion, five hundred five million, one hundred fifty-two thousand, four hundred".