2292241536 has 192 divisors, whose sum is σ = 7142499000. Its totient is φ = 701448192.

The previous prime is 2292241487. The next prime is 2292241543. The reversal of 2292241536 is 6351422922.

It can be written as a sum of positive squares in 4 ways, for example, as 598095936 + 1694145600 = 24456^2 + 41160^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2292241536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4028260 + ... + 4028828.

Almost surely, 2^2292241536 is an apocalyptic number.

2292241536 is a gapful number since it is divisible by the number (26) 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 2292241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571249500).

2292241536 is an abundant number, since it is smaller than the sum of its proper divisors (4850257464).

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

2292241536 is a wasteful number, since it uses less digits than its factorization.

2292241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 856 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2292241536 is about 47877.3593256771. The cubic root of 2292241536 is about 1318.5202149863.

The spelling of 2292241536 in words is "two billion, two hundred ninety-two million, two hundred forty-one thousand, five hundred thirty-six".