2257756640 has 48 divisors (see below), whose sum is σ = 5351110128. Its totient is φ = 900197376.

The previous prime is 2257756639. The next prime is 2257756661. The reversal of 2257756640 is 466577522.

It is a junction number, because it is equal to n+sod(n) for n = 2257756591 and 2257756600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27539 + ... + 72621.

It is an arithmetic number, because the mean of its divisors is an integer number (111481461).

Almost surely, 2^2257756640 is an apocalyptic number.

2257756640 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 2257756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675555064).

2257756640 is an abundant number, since it is smaller than the sum of its proper divisors (3093353488).

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

2257756640 is a wasteful number, since it uses less digits than its factorization.

2257756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45411 (or 45403 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 2257756640 is about 47515.8567217303. The cubic root of 2257756640 is about 1311.8747587669.

The spelling of 2257756640 in words is "two billion, two hundred fifty-seven million, seven hundred fifty-six thousand, six hundred forty".