2551753290240 has 3600 divisors, whose sum is σ = 12476613409920. Its totient is φ = 492727173120.

The previous prime is 2551753290199. The next prime is 2551753290263. The reversal of 2551753290240 is 420923571552.

2551753290240 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 7 + 532 + 90 + 24 + 0 = 666.

It is a super-2 number, since 2×2551753290240² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 32300674521 + ... + 32300674599.

Almost surely, 2^{2551753290240} is an apocalyptic number.

2551753290240 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 2551753290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238306704960).

2551753290240 is an abundant number, since it is smaller than the sum of its proper divisors (9924860119680).

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

2551753290240 is a wasteful number, since it uses less digits than its factorization.

2551753290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2551753290240 in words is "two trillion, five hundred fifty-one billion, seven hundred fifty-three million, two hundred ninety thousand, two hundred forty".