2554123264 has 176 divisors, whose sum is σ = 6591012480. Its totient is φ = 959938560.

The previous prime is 2554123259. The next prime is 2554123291. The reversal of 2554123264 is 4623214552.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286034 + ... + 2287150.

Almost surely, 2^2554123264 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 2554123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295506240).

2554123264 is an abundant number, since it is smaller than the sum of its proper divisors (4036889216).

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

2554123264 is a wasteful number, since it uses less digits than its factorization.

2554123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1166 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 2554123264 is about 50538.3345985995. The cubic root of 2554123264 is about 1366.9331764475.

The spelling of 2554123264 in words is "two billion, five hundred fifty-four million, one hundred twenty-three thousand, two hundred sixty-four".