2253041280 has 768 divisors, whose sum is σ = 9967276800. Its totient is φ = 456523776.

The previous prime is 2253041249. The next prime is 2253041293. The reversal of 2253041280 is 821403522.

2253041280 is a `hidden beast` number, since 2 + 2 + 530 + 4 + 128 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023274 + ... + 13023446.

It is an arithmetic number, because the mean of its divisors is an integer number (12978225).

Almost surely, 2^2253041280 is an apocalyptic number.

2253041280 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 2253041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983638400).

2253041280 is an abundant number, since it is smaller than the sum of its proper divisors (7714235520).

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

2253041280 is a wasteful number, since it uses less digits than its factorization.

2253041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2253041280 is about 47466.2119828410. The cubic root of 2253041280 is about 1310.9608319144.

The spelling of 2253041280 in words is "two billion, two hundred fifty-three million, forty-one thousand, two hundred eighty".