2633432640 has 224 divisors, whose sum is σ = 8722059264. Its totient is φ = 672430080.

The previous prime is 2633432639. The next prime is 2633432663. The reversal of 2633432640 is 462343362.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3183907 + ... + 3184733.

Almost surely, 2^2633432640 is an apocalyptic number.

2633432640 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 2633432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361029632).

2633432640 is an abundant number, since it is smaller than the sum of its proper divisors (6088626624).

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

2633432640 is a wasteful number, since it uses less digits than its factorization.

2633432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 2633432640 is about 51316.9819845244. The cubic root of 2633432640 is about 1380.9376530343.

The spelling of 2633432640 in words is "two billion, six hundred thirty-three million, four hundred thirty-two thousand, six hundred forty".