2554291600 has 225 divisors, whose sum is σ = 7535178897. Its totient is φ = 829664640.

The previous prime is 2554291589. The next prime is 2554291603. The reversal of 2554291600 is 61924552.

It is a happy number.

The square root of 2554291600 is 50540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 919544976 + 1634746624 = 30324^2 + 40432^2 .

It is not an unprimeable number, because it can be changed into a prime (2554291603) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134436391 + ... + 134436409.

Almost surely, 2^2554291600 is an apocalyptic number.

2554291600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2554291600 is the 50540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554291600

2554291600 is an abundant number, since it is smaller than the sum of its proper divisors (4980887297).

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

2554291600 is an frugal number, since it uses more digits than its factorization.

2554291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The cubic root of 2554291600 is about 1366.9632061922.

The spelling of 2554291600 in words is "two billion, five hundred fifty-four million, two hundred ninety-one thousand, six hundred".