2250179712 has 384 divisors, whose sum is σ = 7458272640. Its totient is φ = 645120000.

The previous prime is 2250179669. The next prime is 2250179731. The reversal of 2250179712 is 2179710522.

It is a tau number, because it is divible by the number of its divisors (384).

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, 31692637 + ... + 31692707.

It is an arithmetic number, because the mean of its divisors is an integer number (19422585).

Almost surely, 2^2250179712 is an apocalyptic number.

2250179712 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 2250179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729136320).

2250179712 is an abundant number, since it is smaller than the sum of its proper divisors (5208092928).

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

2250179712 is a wasteful number, since it uses less digits than its factorization.

2250179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2250179712 is about 47436.0591955108. The cubic root of 2250179712 is about 1310.4055834851.

The spelling of 2250179712 in words is "two billion, two hundred fifty million, one hundred seventy-nine thousand, seven hundred twelve".