2253800897280 has 864 divisors, whose sum is σ = 8482943064960. Its totient is φ = 550750126080.

The previous prime is 2253800897261. The next prime is 2253800897287. The reversal of 2253800897280 is 827980083522.

It is a happy number.

2253800897280 is a `hidden beast` number, since 2 + 2 + 538 + 0 + 0 + 89 + 7 + 28 + 0 = 666.

It is a super-3 number, since 3×2253800897280³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2253800897287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052685010 + ... + 1052687150.

It is an arithmetic number, because the mean of its divisors is an integer number (9818221140).

Almost surely, 2^{2253800897280} is an apocalyptic number.

2253800897280 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 2253800897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241471532480).

2253800897280 is an abundant number, since it is smaller than the sum of its proper divisors (6229142167680).

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

2253800897280 is a wasteful number, since it uses less digits than its factorization.

2253800897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2253800897280 in words is "two trillion, two hundred fifty-three billion, eight hundred million, eight hundred ninety-seven thousand, two hundred eighty".