2251401609600 has 2688 divisors, whose sum is σ = 10398887866080. Its totient is φ = 472979865600.

The previous prime is 2251401609577. The next prime is 2251401609623. The reversal of 2251401609600 is 69061041522.

2251401609600 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 40 + 1 + 6 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2251401609577) and next prime (2251401609623).

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 335 ways as a sum of consecutive naturals, for example, 5671036602 + ... + 5671036998.

Almost surely, 2^{2251401609600} is an apocalyptic number.

2251401609600 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 2251401609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199443933040).

2251401609600 is an abundant number, since it is smaller than the sum of its proper divisors (8147486256480).

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

2251401609600 is a wasteful number, since it uses less digits than its factorization.

2251401609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2251401609600 in words is "two trillion, two hundred fifty-one billion, four hundred one million, six hundred nine thousand, six hundred".