2253128640 has 224 divisors, whose sum is σ = 8216432640. Its totient is φ = 512434176.

The previous prime is 2253128621. The next prime is 2253128641. The reversal of 2253128640 is 468213522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253128641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565041 + ... + 1566479.

Almost surely, 2^2253128640 is an apocalyptic number.

2253128640 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 2253128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108216320).

2253128640 is an abundant number, since it is smaller than the sum of its proper divisors (5963304000).

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

2253128640 is a wasteful number, since it uses less digits than its factorization.

2253128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2253128640 is about 47467.1322074549. The cubic root of 2253128640 is about 1310.9777755392.

The spelling of 2253128640 in words is "two billion, two hundred fifty-three million, one hundred twenty-eight thousand, six hundred forty".