2782890 has 64 divisors (see below), whose sum is σ = 8104320. Its totient is φ = 673920.

The previous prime is 2782877. The next prime is 2782903. The reversal of 2782890 is 982872.

It is an interprime number because it is at equal distance from previous prime (2782877) and next prime (2782903).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

2^2782890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052160).

2782890 is an abundant number, since it is smaller than the sum of its proper divisors (5321430).

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

2782890 is a wasteful number, since it uses less digits than its factorization.

2782890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

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

The square root of 2782890 is about 1668.1996283419. The cubic root of 2782890 is about 140.6582943388.

The spelling of 2782890 in words is "two million, seven hundred eighty-two thousand, eight hundred ninety".