2559348100 has 27 divisors (see below), whose sum is σ = 5554883397. Its totient is φ = 1023536880.

The previous prime is 2559348097. The next prime is 2559348131. The reversal of 2559348100 is 18439552.

The square root of 2559348100 is 50590.

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., 921365316 + 1637982784 = 30354^2 + 40472^2 .

It is a super-2 number, since 2×2559348100² = 13100525393947220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2559348100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503371 + ... + 508429.

Almost surely, 2^2559348100 is an apocalyptic number.

2559348100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2559348100 is the 50590-th square number.

It is an amenable number.

2559348100 is an abundant number, since it is smaller than the sum of its proper divisors (2995535297).

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

2559348100 is an frugal number, since it uses more digits than its factorization.

2559348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 2559348100 is about 1367.8646294294.

The spelling of 2559348100 in words is "two billion, five hundred fifty-nine million, three hundred forty-eight thousand, one hundred".