2254250880 has 480 divisors, whose sum is σ = 9136749960. Its totient is φ = 512096256.

The previous prime is 2254250879. The next prime is 2254250897. The reversal of 2254250880 is 880524522.

2254250880 is a `hidden beast` number, since 22 + 54 + 2 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13829679 + ... + 13829841.

Almost surely, 2^2254250880 is an apocalyptic number.

2254250880 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 2254250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568374980).

2254250880 is an abundant number, since it is smaller than the sum of its proper divisors (6882499080).

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

2254250880 is an equidigital number, since it uses as much as digits as its factorization.

2254250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2254250880 is about 47478.9519682143. The cubic root of 2254250880 is about 1311.1953970095.

The spelling of 2254250880 in words is "two billion, two hundred fifty-four million, two hundred fifty thousand, eight hundred eighty".