2938088640 has 112 divisors (see below), whose sum is σ = 9340047360. Its totient is φ = 782515200.

The previous prime is 2938088639. The next prime is 2938088653. The reversal of 2938088640 is 468808392.

It is a happy number.

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 2938088640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1103631 + ... + 1106289.

It is an arithmetic number, because the mean of its divisors is an integer number (83393280).

Almost surely, 2^2938088640 is an apocalyptic number.

2938088640 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 2938088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

2938088640 is an abundant number, since it is smaller than the sum of its proper divisors (6401958720).

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

2938088640 is a wasteful number, since it uses less digits than its factorization.

2938088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2938088640 is about 54204.1385873809. The cubic root of 2938088640 is about 1432.2592354455.

The spelling of 2938088640 in words is "two billion, nine hundred thirty-eight million, eighty-eight thousand, six hundred forty".