2554900920 has 512 divisors, whose sum is σ = 10189670400. Its totient is φ = 561254400.

The previous prime is 2554900897. The next prime is 2554900921. The reversal of 2554900920 is 290094552.

It is a happy number.

2554900920 is a `hidden beast` number, since 25 + 549 + 0 + 0 + 92 + 0 = 666.

It is a super-2 number, since 2×2554900920² = 13055037422033692800, which contains 22 as substring.

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 (2554900921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10965124 + ... + 10965356.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^2554900920 is an apocalyptic number.

2554900920 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 2554900920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2554900920 is an abundant number, since it is smaller than the sum of its proper divisors (7634769480).

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

2554900920 is a wasteful number, since it uses less digits than its factorization.

2554900920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2554900920 is about 50546.0277371031. The cubic root of 2554900920 is about 1367.0718927910.

It can be divided in two parts, 25 and 54900920, that added together give a palindrome (54900945).

The spelling of 2554900920 in words is "two billion, five hundred fifty-four million, nine hundred thousand, nine hundred twenty".