2554251620 has 48 divisors (see below), whose sum is σ = 5549339376. Its totient is φ = 986880000.

The previous prime is 2554251619. The next prime is 2554251697. The reversal of 2554251620 is 261524552.

It can be written as a sum of positive squares in 8 ways, for example, as 26977636 + 2527273984 = 5194^2 + 50272^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67400 + ... + 98240.

It is an arithmetic number, because the mean of its divisors is an integer number (115611237).

Almost surely, 2^2554251620 is an apocalyptic number.

2554251620 is a gapful number since it is divisible by the number (20) 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 2554251620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774669688).

2554251620 is an abundant number, since it is smaller than the sum of its proper divisors (2995087756).

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

2554251620 is a wasteful number, since it uses less digits than its factorization.

2554251620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30992 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2554251620 is about 50539.6044701579. The cubic root of 2554251620 is about 1366.9560742116.

The spelling of 2554251620 in words is "two billion, five hundred fifty-four million, two hundred fifty-one thousand, six hundred twenty".