2253542880 has 96 divisors (see below), whose sum is σ = 7472304000. Its totient is φ = 569313792.

The previous prime is 2253542869. The next prime is 2253542891. The reversal of 2253542880 is 882453522.

It is an interprime number because it is at equal distance from previous prime (2253542869) and next prime (2253542891).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2253542880³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114430 + ... + 132669.

It is an arithmetic number, because the mean of its divisors is an integer number (77836500).

Almost surely, 2^2253542880 is an apocalyptic number.

2253542880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253542880 is an abundant number, since it is smaller than the sum of its proper divisors (5218761120).

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

2253542880 is a wasteful number, since it uses less digits than its factorization.

2253542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247136 (or 247128 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 2253542880 is about 47471.4954472681. The cubic root of 2253542880 is about 1311.0581121501.

The spelling of 2253542880 in words is "two billion, two hundred fifty-three million, five hundred forty-two thousand, eight hundred eighty".