2232261504 has 480 divisors, whose sum is σ = 7780643640. Its totient is φ = 629544960.

The previous prime is 2232261433. The next prime is 2232261533. The reversal of 2232261504 is 4051622322.

It is a happy number.

2232261504 is a `hidden beast` number, since 2 + 23 + 22 + 615 + 0 + 4 = 666.

It is a super-3 number, since 3×2232261504³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60331374 + ... + 60331410.

Almost surely, 2^2232261504 is an apocalyptic number.

2232261504 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 2232261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890321820).

2232261504 is an abundant number, since it is smaller than the sum of its proper divisors (5548382136).

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

2232261504 is a wasteful number, since it uses less digits than its factorization.

2232261504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2232261504 is about 47246.8147497797. The cubic root of 2232261504 is about 1306.9180514997.

Adding to 2232261504 its reverse (4051622322), we get a palindrome (6283883826).

The spelling of 2232261504 in words is "two billion, two hundred thirty-two million, two hundred sixty-one thousand, five hundred four".