2250292128 has 96 divisors (see below), whose sum is σ = 6799726080. Its totient is φ = 638288640.

The previous prime is 2250292127. The next prime is 2250292153. The reversal of 2250292128 is 8212920522.

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

It is a super-2 number, since 2×2250292128² = 10127629322677536768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2250292123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81363 + ... + 105453.

It is an arithmetic number, because the mean of its divisors is an integer number (70830480).

Almost surely, 2^2250292128 is an apocalyptic number.

2250292128 is a gapful number since it is divisible by the number (28) 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 2250292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399863040).

2250292128 is an abundant number, since it is smaller than the sum of its proper divisors (4549433952).

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

2250292128 is a wasteful number, since it uses less digits than its factorization.

2250292128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250 (or 24242 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2250292128 is about 47437.2441020766. The cubic root of 2250292128 is about 1310.4274051645.

The spelling of 2250292128 in words is "two billion, two hundred fifty million, two hundred ninety-two thousand, one hundred twenty-eight".