2252897280 has 352 divisors, whose sum is σ = 8214201600. Its totient is φ = 585252864.

The previous prime is 2252897261. The next prime is 2252897287. The reversal of 2252897280 is 827982522.

2252897280 is a `hidden beast` number, since 225 + 289 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252897287) 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, 5944131 + ... + 5944509.

It is an arithmetic number, because the mean of its divisors is an integer number (23335800).

Almost surely, 2^2252897280 is an apocalyptic number.

2252897280 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 2252897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107100800).

2252897280 is an abundant number, since it is smaller than the sum of its proper divisors (5961304320).

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

2252897280 is a wasteful number, since it uses less digits than its factorization.

2252897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2252897280 is about 47464.6950901404. The cubic root of 2252897280 is about 1310.9329019066.

The spelling of 2252897280 in words is "two billion, two hundred fifty-two million, eight hundred ninety-seven thousand, two hundred eighty".