25340002400 has 72 divisors (see below), whose sum is σ = 61920114984. Its totient is φ = 10126361600.

The previous prime is 25340002393. The next prime is 25340002411. The reversal of 25340002400 is 420004352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858284 + ... + 887316.

It is an arithmetic number, because the mean of its divisors is an integer number (860001597).

Almost surely, 2^25340002400 is an apocalyptic number.

25340002400 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 25340002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30960057492).

25340002400 is an abundant number, since it is smaller than the sum of its proper divisors (36580112584).

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

25340002400 is a wasteful number, since it uses less digits than its factorization.

25340002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30144 (or 30131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 25340002400 its reverse (420004352), we get a palindrome (25760006752).

The spelling of 25340002400 in words is "twenty-five billion, three hundred forty million, two thousand, four hundred".