2251590280900 has 27 divisors (see below), whose sum is σ = 4885983471271. Its totient is φ = 900630110240.

The previous prime is 2251590280867. The next prime is 2251590280903. The reversal of 2251590280900 is 90820951522.

The square root of 2251590280900 is 1500530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 254546484676 + 1997043796224 = 504526^2 + 1413168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251590280903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14930274 + ... + 15080326.

Almost surely, 2^{2251590280900} is an apocalyptic number.

2251590280900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2251590280900 is the 1500530-th square number.

It is an amenable number.

2251590280900 is an abundant number, since it is smaller than the sum of its proper divisors (2634393190371).

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

2251590280900 is an frugal number, since it uses more digits than its factorization.

2251590280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300120 (or 150060 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 2251590280900 in words is "two trillion, two hundred fifty-one billion, five hundred ninety million, two hundred eighty thousand, nine hundred".