264966402240 has 336 divisors, whose sum is σ = 930125851200. Its totient is φ = 69208449024.

The previous prime is 264966402203. The next prime is 264966402251. The reversal of 264966402240 is 42204669462.

264966402240 is a `hidden beast` number, since 264 + 96 + 64 + 0 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 128063926 + ... + 128065994.

It is an arithmetic number, because the mean of its divisors is an integer number (2768231700).

Almost surely, 2^264966402240 is an apocalyptic number.

264966402240 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 264966402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465062925600).

264966402240 is an abundant number, since it is smaller than the sum of its proper divisors (665159448960).

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

264966402240 is a wasteful number, since it uses less digits than its factorization.

264966402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 264966402240 in words is "two hundred sixty-four billion, nine hundred sixty-six million, four hundred two thousand, two hundred forty".