2251934784 has 560 divisors, whose sum is σ = 8125577856. Its totient is φ = 608256000.

The previous prime is 2251934779. The next prime is 2251934791. The reversal of 2251934784 is 4874391522.

2251934784 is a `hidden beast` number, since 22 + 519 + 34 + 7 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22296334 + ... + 22296434.

Almost surely, 2^2251934784 is an apocalyptic number.

2251934784 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 2251934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062788928).

2251934784 is an abundant number, since it is smaller than the sum of its proper divisors (5873643072).

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

2251934784 is a wasteful number, since it uses less digits than its factorization.

2251934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2251934784 is about 47454.5549341683. The cubic root of 2251934784 is about 1310.7461871645.

The spelling of 2251934784 in words is "two billion, two hundred fifty-one million, nine hundred thirty-four thousand, seven hundred eighty-four".