2251417984 has 32 divisors (see below), whose sum is σ = 4749089400. Its totient is φ = 1059489792.

The previous prime is 2251417969. The next prime is 2251417991. The reversal of 2251417984 is 4897141522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2251417984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515154 + ... + 519505.

Almost surely, 2^2251417984 is an apocalyptic number.

It is an amenable number.

2251417984 is an abundant number, since it is smaller than the sum of its proper divisors (2497671416).

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

2251417984 is a wasteful number, since it uses less digits than its factorization.

2251417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034690 (or 1034678 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 2251417984 is about 47449.1094120849. The cubic root of 2251417984 is about 1310.6459111027.

The spelling of 2251417984 in words is "two billion, two hundred fifty-one million, four hundred seventeen thousand, nine hundred eighty-four".