2554417008 has 240 divisors, whose sum is σ = 8893868256. Its totient is φ = 672399360.

The previous prime is 2554416971. The next prime is 2554417013. The reversal of 2554417008 is 8007144552.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 346416 + ... + 353712.

Almost surely, 2^2554417008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554417008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446934128).

2554417008 is an abundant number, since it is smaller than the sum of its proper divisors (6339451248).

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

2554417008 is a wasteful number, since it uses less digits than its factorization.

2554417008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2554417008 is about 50541.2406654209. The cubic root of 2554417008 is about 1366.9855770805.

The spelling of 2554417008 in words is "two billion, five hundred fifty-four million, four hundred seventeen thousand, eight".