2552838171408 has 240 divisors, whose sum is σ = 8525683964160. Its totient is φ = 729232471296.

The previous prime is 2552838171371. The next prime is 2552838171409. The reversal of 2552838171408 is 8041718382552.

It is a happy number.

2552838171408 is a `hidden beast` number, since 2 + 5 + 528 + 3 + 8 + 1 + 71 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2552838171409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140821641 + ... + 140839767.

It is an arithmetic number, because the mean of its divisors is an integer number (35523683184).

Almost surely, 2^{2552838171408} is an apocalyptic number.

2552838171408 is a gapful number since it is divisible by the number (28) 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 2552838171408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262841982080).

2552838171408 is an abundant number, since it is smaller than the sum of its proper divisors (5972845792752).

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

2552838171408 is a wasteful number, since it uses less digits than its factorization.

2552838171408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24811 (or 24792 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 2552838171408 in words is "two trillion, five hundred fifty-two billion, eight hundred thirty-eight million, one hundred seventy-one thousand, four hundred eight".