2887920 has 160 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 656640.

The previous prime is 2887883. The next prime is 2887921. The reversal of 2887920 is 297882.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15025 + ... + 15215.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

2^2887920 is an apocalyptic number.

2887920 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 2887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

2887920 is an abundant number, since it is smaller than the sum of its proper divisors (8539920).

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

2887920 is a wasteful number, since it uses less digits than its factorization.

2887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

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

The square root of 2887920 is about 1699.3881251792. The cubic root of 2887920 is about 142.4060322319.

The spelling of 2887920 in words is "two million, eight hundred eighty-seven thousand, nine hundred twenty".