2551217274144 has 2304 divisors, whose sum is σ = 10484387020800. Its totient is φ = 594397440000.

The previous prime is 2551217274131. The next prime is 2551217274157. The reversal of 2551217274144 is 4414727121552.

2551217274144 is a `hidden beast` number, since 2 + 55 + 12 + 172 + 7 + 414 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2551217274131) and next prime (2551217274157).

It is a self number, because there is not a number n which added to its sum of digits gives 2551217274144.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19474940959 + ... + 19474941089.

It is an arithmetic number, because the mean of its divisors is an integer number (4550515200).

Almost surely, 2^{2551217274144} is an apocalyptic number.

2551217274144 is a gapful number since it is divisible by the number (24) 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 2551217274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242193510400).

2551217274144 is an abundant number, since it is smaller than the sum of its proper divisors (7933169746656).

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

2551217274144 is a wasteful number, since it uses less digits than its factorization.

2551217274144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The spelling of 2551217274144 in words is "two trillion, five hundred fifty-one billion, two hundred seventeen million, two hundred seventy-four thousand, one hundred forty-four".