2291251200 has 288 divisors, whose sum is σ = 8660695680. Its totient is φ = 523468800.

The previous prime is 2291251181. The next prime is 2291251201. The reversal of 2291251200 is 21521922.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291251201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074135 + ... + 1076265.

It is an arithmetic number, because the mean of its divisors is an integer number (30071860).

Almost surely, 2^2291251200 is an apocalyptic number.

2291251200 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 2291251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330347840).

2291251200 is an abundant number, since it is smaller than the sum of its proper divisors (6369444480).

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

2291251200 is a wasteful number, since it uses less digits than its factorization.

2291251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2291251200 is about 47867.0157833137. The cubic root of 2291251200 is about 1318.3303039161.

The spelling of 2291251200 in words is "two billion, two hundred ninety-one million, two hundred fifty-one thousand, two hundred".