2515216200 has 384 divisors, whose sum is σ = 9611289600. Its totient is φ = 531256320.

The previous prime is 2515216169. The next prime is 2515216201. The reversal of 2515216200 is 26125152.

It is a happy number.

2515216200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2515216201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3431034 + ... + 3431766.

It is an arithmetic number, because the mean of its divisors is an integer number (25029400).

Almost surely, 2^2515216200 is an apocalyptic number.

2515216200 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 2515216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805644800).

2515216200 is an abundant number, since it is smaller than the sum of its proper divisors (7096073400).

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

2515216200 is a wasteful number, since it uses less digits than its factorization.

2515216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2515216200 is about 50151.9311691983. The cubic root of 2515216200 is about 1359.9567820753.

The spelling of 2515216200 in words is "two billion, five hundred fifteen million, two hundred sixteen thousand, two hundred".