2812940 has 48 divisors (see below), whose sum is σ = 6585600. Its totient is φ = 1002240.

The previous prime is 2812937. The next prime is 2812961. The reversal of 2812940 is 492182.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 7886 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (137200).

2^2812940 is an apocalyptic number.

2812940 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 2812940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292800).

2812940 is an abundant number, since it is smaller than the sum of its proper divisors (3772660).

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

2812940 is a wasteful number, since it uses less digits than its factorization.

2812940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2812940 is about 1677.1821606492. The cubic root of 2812940 is about 141.1627649413.

The spelling of 2812940 in words is "two million, eight hundred twelve thousand, nine hundred forty".