2379864300 has 216 divisors, whose sum is σ = 7717662288. Its totient is φ = 565593600.

The previous prime is 2379864287. The next prime is 2379864329. The reversal of 2379864300 is 34689732.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1923282 + ... + 1924518.

It is an arithmetic number, because the mean of its divisors is an integer number (35729918).

Almost surely, 2^2379864300 is an apocalyptic number.

2379864300 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 2379864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858831144).

2379864300 is an abundant number, since it is smaller than the sum of its proper divisors (5337797988).

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

2379864300 is a wasteful number, since it uses less digits than its factorization.

2379864300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2379864300 is about 48783.8528613721. The cubic root of 2379864300 is about 1335.1110738145. Note that the first 3 decimals are identical.

The spelling of 2379864300 in words is "two billion, three hundred seventy-nine million, eight hundred sixty-four thousand, three hundred".