2987285688320 has 104 divisors (see below), whose sum is σ = 7170200097984. Its totient is φ = 1194649321472.

The previous prime is 2987285688311. The next prime is 2987285688337. The reversal of 2987285688320 is 238865827892.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110926697 + ... + 110953623.

Almost surely, 2^{2987285688320} is an apocalyptic number.

2987285688320 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 2987285688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585100048992).

2987285688320 is an abundant number, since it is smaller than the sum of its proper divisors (4182914409664).

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

2987285688320 is an equidigital number, since it uses as much as digits as its factorization.

2987285688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32373 (or 32351 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 2987285688320 in words is "two trillion, nine hundred eighty-seven billion, two hundred eighty-five million, six hundred eighty-eight thousand, three hundred twenty".