2785920 has 64 divisors (see below), whose sum is σ = 8886240. Its totient is φ = 742400.

The previous prime is 2785907. The next prime is 2785961. The reversal of 2785920 is 295872.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2785920² = 15522700492800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a congruent number.

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, 1195 + ... + 2645.

2^2785920 is an apocalyptic number.

2785920 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 2785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120).

2785920 is an abundant number, since it is smaller than the sum of its proper divisors (6100320).

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

2785920 is a wasteful number, since it uses less digits than its factorization.

2785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2785920 is about 1669.1075459658. The cubic root of 2785920 is about 140.7093252271.

The spelling of 2785920 in words is "two million, seven hundred eighty-five thousand, nine hundred twenty".