2401625625400 has 48 divisors (see below), whose sum is σ = 5589185461200. Its totient is φ = 959720206080.

The previous prime is 2401625625341. The next prime is 2401625625407. The reversal of 2401625625400 is 45265261042.

It is a happy number.

It is a super-2 number, since 2×2401625625400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2401625625400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401625625407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5605660 + ... + 6018859.

It is an arithmetic number, because the mean of its divisors is an integer number (116441363775).

Almost surely, 2^{2401625625400} is an apocalyptic number.

2401625625400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401625625400 is an abundant number, since it is smaller than the sum of its proper divisors (3187559835800).

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

2401625625400 is a wasteful number, since it uses less digits than its factorization.

2401625625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625568 (or 11625559 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 2401625625400 in words is "two trillion, four hundred one billion, six hundred twenty-five million, six hundred twenty-five thousand, four hundred".