2257376000 has 288 divisors, whose sum is σ = 6302028096. Its totient is φ = 805376000.

The previous prime is 2257375999. The next prime is 2257376021. The reversal of 2257376000 is 6737522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42591974 + ... + 42592026.

It is an arithmetic number, because the mean of its divisors is an integer number (21882042).

Almost surely, 2^2257376000 is an apocalyptic number.

2257376000 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 2257376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151014048).

2257376000 is an abundant number, since it is smaller than the sum of its proper divisors (4044652096).

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

2257376000 is an frugal number, since it uses more digits than its factorization.

2257376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 2257376000 is about 47511.8511531597. The cubic root of 2257376000 is about 1311.8010307036.

The spelling of 2257376000 in words is "two billion, two hundred fifty-seven million, three hundred seventy-six thousand".