2253811520 has 28 divisors (see below), whose sum is σ = 5366889444. Its totient is φ = 901524480.

The previous prime is 2253811487. The next prime is 2253811537. The reversal of 2253811520 is 251183522.

It can be written as a sum of positive squares in 2 ways, for example, as 1374333184 + 879478336 = 37072^2 + 29656^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3521261 + ... + 3521900.

It is an arithmetic number, because the mean of its divisors is an integer number (191674623).

Almost surely, 2^2253811520 is an apocalyptic number.

2253811520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253811520 is an abundant number, since it is smaller than the sum of its proper divisors (3113077924).

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

2253811520 is an equidigital number, since it uses as much as digits as its factorization.

2253811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043178 (or 7043168 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 2253811520 is about 47474.3248503862. The cubic root of 2253811520 is about 1311.1102062194.

The spelling of 2253811520 in words is "two billion, two hundred fifty-three million, eight hundred eleven thousand, five hundred twenty".