2250494064 has 640 divisors, whose sum is σ = 8799436800. Its totient is φ = 533744640.

The previous prime is 2250494033. The next prime is 2250494107. The reversal of 2250494064 is 4604940522.

2250494064 is a `hidden beast` number, since 2 + 2 + 504 + 94 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17179279 + ... + 17179409.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^2250494064 is an apocalyptic number.

2250494064 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 2250494064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2250494064 is an abundant number, since it is smaller than the sum of its proper divisors (6548942736).

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

2250494064 is a wasteful number, since it uses less digits than its factorization.

2250494064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2250494064 is about 47439.3725084976. The cubic root of 2250494064 is about 1310.4666022314.

The spelling of 2250494064 in words is "two billion, two hundred fifty million, four hundred ninety-four thousand, sixty-four".