2633423940 has 384 divisors, whose sum is σ = 10132684800. Its totient is φ = 554273280.

The previous prime is 2633423899. The next prime is 2633423941. The reversal of 2633423940 is 493243362.

2633423940 is a `hidden beast` number, since 263 + 3 + 4 + 2 + 394 + 0 = 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 = 2633423895 and 2633423904.

It is not an unprimeable number, because it can be changed into a prime (2633423941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2656845 + ... + 2657835.

It is an arithmetic number, because the mean of its divisors is an integer number (26387200).

Almost surely, 2^2633423940 is an apocalyptic number.

2633423940 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 2633423940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066342400).

2633423940 is an abundant number, since it is smaller than the sum of its proper divisors (7499260860).

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

2633423940 is a wasteful number, since it uses less digits than its factorization.

2633423940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2633423940 is about 51316.8972171935. The cubic root of 2633423940 is about 1380.9361323106.

The spelling of 2633423940 in words is "two billion, six hundred thirty-three million, four hundred twenty-three thousand, nine hundred forty".