2115379200 has 336 divisors, whose sum is σ = 7654661856. Its totient is φ = 511180800.

The previous prime is 2115379199. The next prime is 2115379213. The reversal of 2115379200 is 29735112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6758244 + ... + 6758556.

Almost surely, 2^2115379200 is an apocalyptic number.

2115379200 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 2115379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827330928).

2115379200 is an abundant number, since it is smaller than the sum of its proper divisors (5539282656).

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

2115379200 is a wasteful number, since it uses less digits than its factorization.

2115379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2115379200 is about 45993.2516789148. The cubic root of 2115379200 is about 1283.6976413667.

The spelling of 2115379200 in words is "two billion, one hundred fifteen million, three hundred seventy-nine thousand, two hundred".