2938578240 has 224 divisors, whose sum is σ = 10294534656. Its totient is φ = 705576960.

The previous prime is 2938578229. The next prime is 2938578337. The reversal of 2938578240 is 428758392.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 2938578240.

It is a congruent 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, 508809 + ... + 514551.

It is an arithmetic number, because the mean of its divisors is an integer number (45957744).

Almost surely, 2^2938578240 is an apocalyptic number.

2938578240 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 2938578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147267328).

2938578240 is an abundant number, since it is smaller than the sum of its proper divisors (7355956416).

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

2938578240 is a wasteful number, since it uses less digits than its factorization.

2938578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2938578240 is about 54208.6546595652. The cubic root of 2938578240 is about 1432.3387877509.

The spelling of 2938578240 in words is "two billion, nine hundred thirty-eight million, five hundred seventy-eight thousand, two hundred forty".