2251392000 has 704 divisors, whose sum is σ = 9012826368. Its totient is φ = 491520000.

The previous prime is 2251391981. The next prime is 2251392001. The reversal of 2251392000 is 2931522.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2251392001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54911980 + ... + 54912020.

Almost surely, 2^2251392000 is an apocalyptic number.

2251392000 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 2251392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506413184).

2251392000 is an abundant number, since it is smaller than the sum of its proper divisors (6761434368).

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

2251392000 is a wasteful number, since it uses less digits than its factorization.

2251392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2251392000 is about 47448.8356021515. The cubic root of 2251392000 is about 1310.6408689538.

The spelling of 2251392000 in words is "two billion, two hundred fifty-one million, three hundred ninety-two thousand".