2639473920 has 432 divisors, whose sum is σ = 9948556800. Its totient is φ = 643645440.

The previous prime is 2639473897. The next prime is 2639473927. The reversal of 2639473920 is 293749362.

2639473920 is a `hidden beast` number, since 2 + 639 + 4 + 7 + 3 + 9 + 2 + 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 not an unprimeable number, because it can be changed into a prime (2639473927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785086 + ... + 6785474.

Almost surely, 2^2639473920 is an apocalyptic number.

2639473920 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 2639473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974278400).

2639473920 is an abundant number, since it is smaller than the sum of its proper divisors (7309082880).

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

2639473920 is a wasteful number, since it uses less digits than its factorization.

2639473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2639473920 is about 51375.8106505386. The cubic root of 2639473920 is about 1381.9928359780.

The spelling of 2639473920 in words is "two billion, six hundred thirty-nine million, four hundred seventy-three thousand, nine hundred twenty".