2257753878 has 64 divisors (see below), whose sum is σ = 5198904000. Its totient is φ = 725421312.

The previous prime is 2257753871. The next prime is 2257753879. The reversal of 2257753878 is 8783577522.

2257753878 is a `hidden beast` number, since 2 + 257 + 7 + 5 + 387 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257753871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767376 + ... + 1768652.

It is an arithmetic number, because the mean of its divisors is an integer number (81232875).

Almost surely, 2^2257753878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257753878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599452000).

2257753878 is an abundant number, since it is smaller than the sum of its proper divisors (2941150122).

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

2257753878 is a wasteful number, since it uses less digits than its factorization.

2257753878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2440 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 2257753878 is about 47515.8276577395. The cubic root of 2257753878 is about 1311.8742238111.

The spelling of 2257753878 in words is "two billion, two hundred fifty-seven million, seven hundred fifty-three thousand, eight hundred seventy-eight".