2251601033600 has 96 divisors (see below), whose sum is σ = 5569039931400. Its totient is φ = 899526103040.

The previous prime is 2251601033569. The next prime is 2251601033609. The reversal of 2251601033600 is 63301061522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251601033609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2153927 + ... + 3023673.

Almost surely, 2^{2251601033600} is an apocalyptic number.

2251601033600 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 2251601033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784519965700).

2251601033600 is an abundant number, since it is smaller than the sum of its proper divisors (3317438897800).

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

2251601033600 is an equidigital number, since it uses as much as digits as its factorization.

2251601033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870580 (or 870563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 2251601033600 in words is "two trillion, two hundred fifty-one billion, six hundred one million, thirty-three thousand, six hundred".