2887920000 has 640 divisors, whose sum is σ = 12236083200. Its totient is φ = 656640000.

The previous prime is 2887919989. The next prime is 2887920001. The reversal of 2887920000 is 297882.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15119905 + ... + 15120095.

It is an arithmetic number, because the mean of its divisors is an integer number (19118880).

Almost surely, 2^2887920000 is an apocalyptic number.

2887920000 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 2887920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118041600).

2887920000 is an abundant number, since it is smaller than the sum of its proper divisors (9348163200).

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

2887920000 is an equidigital number, since it uses as much as digits as its factorization.

2887920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2887920000 is about 53739.3710420954. The cubic root of 2887920000 is about 1424.0603223194.

The spelling of 2887920000 in words is "two billion, eight hundred eighty-seven million, nine hundred twenty thousand".