2938666920 has 256 divisors, whose sum is σ = 11230617600. Its totient is φ = 598855680.

The previous prime is 2938666909. The next prime is 2938666931. The reversal of 2938666920 is 296668392.

It is an interprime number because it is at equal distance from previous prime (2938666909) and next prime (2938666931).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 265905 + ... + 276735.

It is an arithmetic number, because the mean of its divisors is an integer number (43869600).

Almost surely, 2^2938666920 is an apocalyptic number.

2938666920 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 2938666920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615308800).

2938666920 is an abundant number, since it is smaller than the sum of its proper divisors (8291950680).

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

2938666920 is a wasteful number, since it uses less digits than its factorization.

2938666920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 2938666920 is about 54209.4726039647. The cubic root of 2938666920 is about 1432.3531959120.

The spelling of 2938666920 in words is "two billion, nine hundred thirty-eight million, six hundred sixty-six thousand, nine hundred twenty".