2505432400 has 120 divisors (see below), whose sum is σ = 6280542464. Its totient is φ = 959385600.

The previous prime is 2505432383. The next prime is 2505432401. The reversal of 2505432400 is 42345052.

2505432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505432401) 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, 1201759 + ... + 1203841.

Almost surely, 2^2505432400 is an apocalyptic number.

2505432400 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 2505432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140271232).

2505432400 is an abundant number, since it is smaller than the sum of its proper divisors (3775110064).

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

2505432400 is a wasteful number, since it uses less digits than its factorization.

2505432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2505432400 is about 50054.2945210498. The cubic root of 2505432400 is about 1358.1911505945.

Adding to 2505432400 its reverse (42345052), we get a palindrome (2547777452).

The spelling of 2505432400 in words is "two billion, five hundred five million, four hundred thirty-two thousand, four hundred".