288936267040 has 48 divisors (see below), whose sum is σ = 695491421688. Its totient is φ = 113393852416.

The previous prime is 288936266981. The next prime is 288936267041. The reversal of 288936267040 is 40762639882.

It can be written as a sum of positive squares in 4 ways, for example, as 215856876816 + 73079390224 = 464604^2 + 270332^2 .

It is a super-2 number, since 2×288936267040² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (288936267041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17027857 + ... + 17044816.

Almost surely, 2^288936267040 is an apocalyptic number.

288936267040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288936267040 is an abundant number, since it is smaller than the sum of its proper divisors (406555154648).

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

288936267040 is a wasteful number, since it uses less digits than its factorization.

288936267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34072741 (or 34072733 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 288936267040 in words is "two hundred eighty-eight billion, nine hundred thirty-six million, two hundred sixty-seven thousand, forty".