2633264640 has 560 divisors, whose sum is σ = 10143757008. Its totient is φ = 652935168.

The previous prime is 2633264611. The next prime is 2633264677. The reversal of 2633264640 is 464623362.

2633264640 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2633264595 and 2633264604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31726039 + ... + 31726121.

Almost surely, 2^2633264640 is an apocalyptic number.

2633264640 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 2633264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071878504).

2633264640 is an abundant number, since it is smaller than the sum of its proper divisors (7510492368).

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

2633264640 is an frugal number, since it uses more digits than its factorization.

2633264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2633264640 is about 51315.3450733794. The cubic root of 2633264640 is about 1380.9082867419.

The spelling of 2633264640 in words is "two billion, six hundred thirty-three million, two hundred sixty-four thousand, six hundred forty".