2253938000 has 80 divisors (see below), whose sum is σ = 5638098960. Its totient is φ = 870464000.

The previous prime is 2253937997. The next prime is 2253938033. The reversal of 2253938000 is 8393522.

It can be written as a sum of positive squares in 8 ways, for example, as 308775184 + 1945162816 = 17572^2 + 44104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 38570 + ... + 77430.

It is an arithmetic number, because the mean of its divisors is an integer number (70476237).

Almost surely, 2^2253938000 is an apocalyptic number.

2253938000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819049480).

2253938000 is an abundant number, since it is smaller than the sum of its proper divisors (3384160960).

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

2253938000 is a wasteful number, since it uses less digits than its factorization.

2253938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38913 (or 38897 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2253938000 is about 47475.6569201522. The cubic root of 2253938000 is about 1311.1347315055.

The spelling of 2253938000 in words is "two billion, two hundred fifty-three million, nine hundred thirty-eight thousand".