2257735680 has 260 divisors, whose sum is σ = 8099359092. Its totient is φ = 601620480.

The previous prime is 2257735661. The next prime is 2257735681. The reversal of 2257735680 is 865377522.

2257735680 is a `hidden beast` number, since 22 + 577 + 3 + 56 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 1672482816 = 24192^2 + 40896^2 .

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 (2257735681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658200 + ... + 1659560.

Almost surely, 2^2257735680 is an apocalyptic number.

2257735680 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 2257735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049679546).

2257735680 is an abundant number, since it is smaller than the sum of its proper divisors (5841623412).

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

2257735680 is an equidigital number, since it uses as much as digits as its factorization.

2257735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2257735680 is about 47515.6361632674. The cubic root of 2257735680 is about 1311.8706991353.

The spelling of 2257735680 in words is "two billion, two hundred fifty-seven million, seven hundred thirty-five thousand, six hundred eighty".