2257411968 has 384 divisors, whose sum is σ = 7876440000. Its totient is φ = 619573248.

The previous prime is 2257411943. The next prime is 2257411973. The reversal of 2257411968 is 8691147522.

2257411968 is a `hidden beast` number, since 2 + 2 + 574 + 1 + 19 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11458846 + ... + 11459042.

Almost surely, 2^2257411968 is an apocalyptic number.

2257411968 is a gapful number since it is divisible by the number (28) 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 2257411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938220000).

2257411968 is an abundant number, since it is smaller than the sum of its proper divisors (5619028032).

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

2257411968 is a wasteful number, since it uses less digits than its factorization.

2257411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2257411968 is about 47512.2296677392. The cubic root of 2257411968 is about 1311.8079978798.

The spelling of 2257411968 in words is "two billion, two hundred fifty-seven million, four hundred eleven thousand, nine hundred sixty-eight".