2250607680 has 336 divisors, whose sum is σ = 8134648704. Its totient is φ = 592220160.

The previous prime is 2250607673. The next prime is 2250607759. The reversal of 2250607680 is 867060522.

2250607680 is a `hidden beast` number, since 2 + 2 + 506 + 0 + 76 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8009140 + ... + 8009420.

It is an arithmetic number, because the mean of its divisors is an integer number (24210264).

Almost surely, 2^2250607680 is an apocalyptic number.

2250607680 is a gapful number since it is divisible by the number (20) 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 2250607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067324352).

2250607680 is an abundant number, since it is smaller than the sum of its proper divisors (5884041024).

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

2250607680 is a wasteful number, since it uses less digits than its factorization.

2250607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2250607680 is about 47440.5699797125. The cubic root of 2250607680 is about 1310.4886547917.

The spelling of 2250607680 in words is "two billion, two hundred fifty million, six hundred seven thousand, six hundred eighty".