2257575040 has 192 divisors, whose sum is σ = 6327608760. Its totient is φ = 767950848.

The previous prime is 2257575013. The next prime is 2257575049. The reversal of 2257575040 is 405757522.

It can be written as a sum of positive squares in 4 ways, for example, as 1585313856 + 672261184 = 39816^2 + 25928^2 .

It is a super-2 number, since 2×2257575040² = 10193290122462003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2257575049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6052294 + ... + 6052666.

Almost surely, 2^2257575040 is an apocalyptic number.

2257575040 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 2257575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163804380).

2257575040 is an abundant number, since it is smaller than the sum of its proper divisors (4070033720).

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

2257575040 is a wasteful number, since it uses less digits than its factorization.

2257575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 2257575040 is about 47513.9457422766. The cubic root of 2257575040 is about 1311.8395847893.

The spelling of 2257575040 in words is "two billion, two hundred fifty-seven million, five hundred seventy-five thousand, forty".