2262294720 has 1008 divisors, whose sum is σ = 10244864448. Its totient is φ = 454164480.

The previous prime is 2262294709. The next prime is 2262294763. The reversal of 2262294720 is 274922622.

2262294720 is a `hidden beast` number, since 2 + 2 + 622 + 9 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 55177900 + ... + 55177940.

It is an arithmetic number, because the mean of its divisors is an integer number (10163556).

Almost surely, 2^2262294720 is an apocalyptic number.

2262294720 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 2262294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122432224).

2262294720 is an abundant number, since it is smaller than the sum of its proper divisors (7982569728).

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

2262294720 is a wasteful number, since it uses less digits than its factorization.

2262294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2262294720 is about 47563.5860716999. The cubic root of 2262294720 is about 1312.7531245134.

The spelling of 2262294720 in words is "two billion, two hundred sixty-two million, two hundred ninety-four thousand, seven hundred twenty".