2232294624 has 288 divisors, whose sum is σ = 7819628544. Its totient is φ = 590008320.

The previous prime is 2232294613. The next prime is 2232294641. The reversal of 2232294624 is 4264922322.

2232294624 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 29 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2232294624³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1436632 + ... + 1438184.

It is an arithmetic number, because the mean of its divisors is an integer number (27151488).

Almost surely, 2^2232294624 is an apocalyptic number.

2232294624 is a gapful number since it is divisible by the number (24) 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 2232294624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909814272).

2232294624 is an abundant number, since it is smaller than the sum of its proper divisors (5587333920).

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

2232294624 is a wasteful number, since it uses less digits than its factorization.

2232294624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1619 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2232294624 is about 47247.1652482982. The cubic root of 2232294624 is about 1306.9245150363.

The spelling of 2232294624 in words is "two billion, two hundred thirty-two million, two hundred ninety-four thousand, six hundred twenty-four".