2802000 has 80 divisors (see below), whose sum is σ = 9052992. Its totient is φ = 745600.

The previous prime is 2801977. The next prime is 2802011. The reversal of 2802000 is 2082.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5767 + ... + 6233.

2^2802000 is an apocalyptic number.

2802000 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 2802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526496).

2802000 is an abundant number, since it is smaller than the sum of its proper divisors (6250992).

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

2802000 is a wasteful number, since it uses less digits than its factorization.

2802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2802000 is about 1673.9175606941. The cubic root of 2802000 is about 140.9795252197.

Adding to 2802000 its reverse (2082), we get a palindrome (2804082).

The spelling of 2802000 in words is "two million, eight hundred two thousand".