2551601848320 has 448 divisors, whose sum is σ = 10367812477440. Its totient is φ = 583221510144.

The previous prime is 2551601848309. The next prime is 2551601848351. The reversal of 2551601848320 is 238481061552.

2551601848320 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 601 + 8 + 4 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7576639 + ... + 7906241.

Almost surely, 2^{2551601848320} is an apocalyptic number.

2551601848320 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 2551601848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183906238720).

2551601848320 is an abundant number, since it is smaller than the sum of its proper divisors (7816210629120).

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

2551601848320 is an equidigital number, since it uses as much as digits as its factorization.

2551601848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329650 (or 329620 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2551601848320 in words is "two trillion, five hundred fifty-one billion, six hundred one million, eight hundred forty-eight thousand, three hundred twenty".