2425813401600 has 816 divisors, whose sum is σ = 9035908911840. Its totient is φ = 645928058880.

The previous prime is 2425813401589. The next prime is 2425813401617. The reversal of 2425813401600 is 61043185242.

It is a happy number.

2425813401600 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 8 + 1 + 3 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583180462 + ... + 3583181138.

Almost surely, 2^{2425813401600} is an apocalyptic number.

2425813401600 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 2425813401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517954455920).

2425813401600 is an abundant number, since it is smaller than the sum of its proper divisors (6610095510240).

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

2425813401600 is an frugal number, since it uses more digits than its factorization.

2425813401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2425813401600 its reverse (61043185242), we get a palindrome (2486856586842).

The spelling of 2425813401600 in words is "two trillion, four hundred twenty-five billion, eight hundred thirteen million, four hundred one thousand, six hundred".