2525381966400 has 672 divisors, whose sum is σ = 8774194987008. Its totient is φ = 634957209600.

The previous prime is 2525381966381. The next prime is 2525381966423. The reversal of 2525381966400 is 46691835252.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1839316114 + ... + 1839317486.

Almost surely, 2^{2525381966400} is an apocalyptic number.

2525381966400 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 2525381966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387097493504).

2525381966400 is an abundant number, since it is smaller than the sum of its proper divisors (6248813020608).

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

2525381966400 is a wasteful number, since it uses less digits than its factorization.

2525381966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 2525381966400 in words is "two trillion, five hundred twenty-five billion, three hundred eighty-one million, nine hundred sixty-six thousand, four hundred".