2115993600 has 576 divisors, whose sum is σ = 8873963280. Its totient is φ = 471859200.

The previous prime is 2115993563. The next prime is 2115993611. The reversal of 2115993600 is 63995112.

2115993600 is a `hidden beast` number, since 2 + 1 + 1 + 599 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609580 + ... + 51609620.

Almost surely, 2^2115993600 is an apocalyptic number.

2115993600 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 2115993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436981640).

2115993600 is an abundant number, since it is smaller than the sum of its proper divisors (6757969680).

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

2115993600 is an equidigital number, since it uses as much as digits as its factorization.

2115993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2115993600 is about 45999.9304347300. The cubic root of 2115993600 is about 1283.8219102582.

The spelling of 2115993600 in words is "two billion, one hundred fifteen million, nine hundred ninety-three thousand, six hundred".