2554509312 has 336 divisors, whose sum is σ = 8056503000. Its totient is φ = 808206336.

The previous prime is 2554509311. The next prime is 2554509323. The reversal of 2554509312 is 2139054552.

It is a happy number.

2554509312 is a `hidden beast` number, since 2 + 554 + 5 + 0 + 93 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554509311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43296739 + ... + 43296797.

Almost surely, 2^2554509312 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 2554509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028251500).

2554509312 is an abundant number, since it is smaller than the sum of its proper divisors (5501993688).

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

2554509312 is an frugal number, since it uses more digits than its factorization.

2554509312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2554509312 is about 50542.1538124366. The cubic root of 2554509312 is about 1367.0020422487.

The spelling of 2554509312 in words is "two billion, five hundred fifty-four million, five hundred nine thousand, three hundred twelve".