2015428800000 has 2880 divisors, whose sum is σ = 9183394725120. Its totient is φ = 387072000000.

The previous prime is 2015428799977. The next prime is 2015428800031. The reversal of 2015428800000 is 88245102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49156799980 + ... + 49156800020.

It is an arithmetic number, because the mean of its divisors is an integer number (3188678724).

Almost surely, 2^{2015428800000} is an apocalyptic number.

2015428800000 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 2015428800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591697362560).

2015428800000 is an abundant number, since it is smaller than the sum of its proper divisors (7167965925120).

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

2015428800000 is an equidigital number, since it uses as much as digits as its factorization.

2015428800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 2015428800000 in words is "two trillion, fifteen billion, four hundred twenty-eight million, eight hundred thousand".