2633268960 has 576 divisors, whose sum is σ = 11081871360. Its totient is φ = 571484160.

The previous prime is 2633268931. The next prime is 2633268971. The reversal of 2633268960 is 698623362.

2633268960 is a `hidden beast` number, since 2 + 633 + 2 + 6 + 8 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49684294 + ... + 49684346.

It is an arithmetic number, because the mean of its divisors is an integer number (19239360).

Almost surely, 2^2633268960 is an apocalyptic number.

2633268960 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 2633268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540935680).

2633268960 is an abundant number, since it is smaller than the sum of its proper divisors (8448602400).

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

2633268960 is a wasteful number, since it uses less digits than its factorization.

2633268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2633268960 is about 51315.3871660343. The cubic root of 2633268960 is about 1380.9090418907.

The spelling of 2633268960 in words is "two billion, six hundred thirty-three million, two hundred sixty-eight thousand, nine hundred sixty".