2554884552 has 256 divisors, whose sum is σ = 7620480000. Its totient is φ = 705576960.

The previous prime is 2554884511. The next prime is 2554884581.

2554884552 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26338968 + ... + 26339064.

It is an arithmetic number, because the mean of its divisors is an integer number (29767500).

Almost surely, 2^2554884552 is an apocalyptic number.

2554884552 is a gapful number since it is divisible by the number (22) 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 2554884552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240000).

2554884552 is an abundant number, since it is smaller than the sum of its proper divisors (5065595448).

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

2554884552 is a wasteful number, since it uses less digits than its factorization.

2554884552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The square root of 2554884552 is about 50545.8658250109. The cubic root of 2554884552 is about 1367.0689733979.

The spelling of 2554884552 in words is "two billion, five hundred fifty-four million, eight hundred eighty-four thousand, five hundred fifty-two".