2250476784 has 200 divisors, whose sum is σ = 6684282000. Its totient is φ = 730819584.

The previous prime is 2250476771. The next prime is 2250476807. The reversal of 2250476784 is 4876740522.

It is a happy number.

2250476784 is a `hidden beast` number, since 2 + 2 + 504 + 7 + 67 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12572407 + ... + 12572585.

It is an arithmetic number, because the mean of its divisors is an integer number (33421410).

Almost surely, 2^2250476784 is an apocalyptic number.

2250476784 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 2250476784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342141000).

2250476784 is an abundant number, since it is smaller than the sum of its proper divisors (4433805216).

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

2250476784 is a wasteful number, since it uses less digits than its factorization.

2250476784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2250476784 is about 47439.1903809498. The cubic root of 2250476784 is about 1310.4632481648.

The spelling of 2250476784 in words is "two billion, two hundred fifty million, four hundred seventy-six thousand, seven hundred eighty-four".