2257274880 has 288 divisors, whose sum is σ = 8943480000. Its totient is φ = 515801088.

The previous prime is 2257274867. The next prime is 2257274893. The reversal of 2257274880 is 884727522.

2257274880 is a `hidden beast` number, since 2 + 2 + 572 + 74 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2257274867) and next prime (2257274893).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643371 + ... + 646869.

It is an arithmetic number, because the mean of its divisors is an integer number (31053750).

Almost surely, 2^2257274880 is an apocalyptic number.

2257274880 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 2257274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471740000).

2257274880 is an abundant number, since it is smaller than the sum of its proper divisors (6686205120).

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

2257274880 is a wasteful number, since it uses less digits than its factorization.

2257274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2257274880 is about 47510.7869856941. The cubic root of 2257274880 is about 1311.7814428723.

The spelling of 2257274880 in words is "two billion, two hundred fifty-seven million, two hundred seventy-four thousand, eight hundred eighty".