2015041200 has 120 divisors (see below), whose sum is σ = 6794654400. Its totient is φ = 509057280.

The previous prime is 2015041177. The next prime is 2015041207. The reversal of 2015041200 is 21405102.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2015041200.

It is not an unprimeable number, because it can be changed into a prime (2015041207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21390 + ... + 66989.

It is an arithmetic number, because the mean of its divisors is an integer number (56622120).

Almost surely, 2^2015041200 is an apocalyptic number.

2015041200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2015041200 is an abundant number, since it is smaller than the sum of its proper divisors (4779613200).

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

2015041200 is a wasteful number, since it uses less digits than its factorization.

2015041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88419 (or 88408 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2015041200 is about 44889.2102848780. The cubic root of 2015041200 is about 1263.0716190708.

Adding to 2015041200 its reverse (21405102), we get a palindrome (2036446302).

The spelling of 2015041200 in words is "two billion, fifteen million, forty-one thousand, two hundred".