2557786944 has 84 divisors (see below), whose sum is σ = 7074790016. Its totient is φ = 815493888.

The previous prime is 2557786937. The next prime is 2557786951. The reversal of 2557786944 is 4496877552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2557786937) and next prime (2557786951).

It is a super-3 number, since 3×2557786944³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88977 + ... + 114159.

Almost surely, 2^2557786944 is an apocalyptic number.

2557786944 is a gapful number since it is divisible by the number (24) 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 2557786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537395008).

2557786944 is an abundant number, since it is smaller than the sum of its proper divisors (4517003072).

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

2557786944 is a wasteful number, since it uses less digits than its factorization.

2557786944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25244 (or 25211 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The square root of 2557786944 is about 50574.5681543600. The cubic root of 2557786944 is about 1367.5864486411.

The spelling of 2557786944 in words is "two billion, five hundred fifty-seven million, seven hundred eighty-six thousand, nine hundred forty-four".