2938680000 has 350 divisors, whose sum is σ = 10897477316. Its totient is φ = 782784000.

The previous prime is 2938679869. The next prime is 2938680001. The reversal of 2938680000 is 868392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2938680001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239547 + ... + 3240453.

Almost surely, 2^2938680000 is an apocalyptic number.

2938680000 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 2938680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448738658).

2938680000 is an abundant number, since it is smaller than the sum of its proper divisors (7958797316).

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

2938680000 is an frugal number, since it uses more digits than its factorization.

2938680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2938680000 is about 54209.5932469521. The cubic root of 2938680000 is about 1432.3553210425.

The spelling of 2938680000 in words is "two billion, nine hundred thirty-eight million, six hundred eighty thousand".