2115312000 has 256 divisors, whose sum is σ = 7087841280. Its totient is φ = 558028800.

The previous prime is 2115311999. The next prime is 2115312011. The reversal of 2115312000 is 2135112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6095827 + ... + 6096173.

It is an arithmetic number, because the mean of its divisors is an integer number (27686880).

Almost surely, 2^2115312000 is an apocalyptic number.

2115312000 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 2115312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543920640).

2115312000 is an abundant number, since it is smaller than the sum of its proper divisors (4972529280).

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

2115312000 is a wasteful number, since it uses less digits than its factorization.

2115312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2115312000 is about 45992.5211311578. The cubic root of 2115312000 is about 1283.6840479969.

Adding to 2115312000 its reverse (2135112), we get a palindrome (2117447112).

It can be divided in two parts, 211531 and 2000, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 2115312000 in words is "two billion, one hundred fifteen million, three hundred twelve thousand".