2251904976 has 200 divisors, whose sum is σ = 7023312384. Its totient is φ = 694552320.

The previous prime is 2251904933. The next prime is 2251905059. The reversal of 2251904976 is 6794091522.

2251904976 is a `hidden beast` number, since 22 + 51 + 90 + 497 + 6 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 922830 + ... + 925266.

Almost surely, 2^2251904976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251904976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511656192).

2251904976 is an abundant number, since it is smaller than the sum of its proper divisors (4771407408).

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

2251904976 is a wasteful number, since it uses less digits than its factorization.

2251904976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2251904976 is about 47454.2408642262. The cubic root of 2251904976 is about 1310.7404038569.

The spelling of 2251904976 in words is "two billion, two hundred fifty-one million, nine hundred four thousand, nine hundred seventy-six".