2251478592 has 392 divisors, whose sum is σ = 7555760352. Its totient is φ = 659404800.

The previous prime is 2251478561. The next prime is 2251478599. The reversal of 2251478592 is 2958741522.

2251478592 is a `hidden beast` number, since 2 + 2 + 51 + 4 + 7 + 8 + 592 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2251478599) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21041803 + ... + 21041909.

Almost surely, 2^2251478592 is an apocalyptic number.

2251478592 is a gapful number since it is divisible by the number (22) 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 2251478592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777880176).

2251478592 is an abundant number, since it is smaller than the sum of its proper divisors (5304281760).

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

2251478592 is a wasteful number, since it uses less digits than its factorization.

2251478592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 2251478592 is about 47449.7480709856. The cubic root of 2251478592 is about 1310.6576718264.

The spelling of 2251478592 in words is "two billion, two hundred fifty-one million, four hundred seventy-eight thousand, five hundred ninety-two".