2947638720 has 448 divisors, whose sum is σ = 10978652160. Its totient is φ = 663552000.

The previous prime is 2947638649. The next prime is 2947638731. The reversal of 2947638720 is 278367492.

2947638720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2947638720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7350520 + ... + 7350920.

It is an arithmetic number, because the mean of its divisors is an integer number (24505920).

Almost surely, 2^2947638720 is an apocalyptic number.

2947638720 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 2947638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489326080).

2947638720 is an abundant number, since it is smaller than the sum of its proper divisors (8031013440).

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

2947638720 is a wasteful number, since it uses less digits than its factorization.

2947638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 2947638720 is about 54292.1607600950. The cubic root of 2947638720 is about 1433.8093812050.

The spelling of 2947638720 in words is "two billion, nine hundred forty-seven million, six hundred thirty-eight thousand, seven hundred twenty".