2290042800 has 240 divisors, whose sum is σ = 8631010080. Its totient is φ = 574709760.

The previous prime is 2290042759. The next prime is 2290042831. The reversal of 2290042800 is 82400922.

2290042800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 177364 + ... + 189836.

It is an arithmetic number, because the mean of its divisors is an integer number (35962542).

Almost surely, 2^2290042800 is an apocalyptic number.

2290042800 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 2290042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315505040).

2290042800 is an abundant number, since it is smaller than the sum of its proper divisors (6340967280).

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

2290042800 is a wasteful number, since it uses less digits than its factorization.

2290042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2290042800 is about 47854.3916479982. The cubic root of 2290042800 is about 1318.0985018216.

The spelling of 2290042800 in words is "two billion, two hundred ninety million, forty-two thousand, eight hundred".