2293920000 has 540 divisors, whose sum is σ = 8716147440. Its totient is φ = 601344000.

The previous prime is 2293919993. The next prime is 2293920017. The reversal of 2293920000 is 293922.

2293920000 = 15³ + 16³ + ... + 309³.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879971 + ... + 38880029.

Almost surely, 2^2293920000 is an apocalyptic number.

2293920000 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 2293920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358073720).

2293920000 is an abundant number, since it is smaller than the sum of its proper divisors (6422227440).

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

2293920000 is an frugal number, since it uses more digits than its factorization.

2293920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2293920000 is about 47894.8849043403. The cubic root of 2293920000 is about 1318.8419595509.

The spelling of 2293920000 in words is "two billion, two hundred ninety-three million, nine hundred twenty thousand".