2786952 has 64 divisors (see below), whose sum is σ = 8138880. Its totient is φ = 778752.

The previous prime is 2786947. The next prime is 2786957. The reversal of 2786952 is 2596872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2786947) and next prime (2786957).

Its product of digits (60480) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 2786952.

It is not an unprimeable number, because it can be changed into a prime (2786957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8748 + ... + 9060.

It is an arithmetic number, because the mean of its divisors is an integer number (127170).

2^2786952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2786952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069440).

2786952 is an abundant number, since it is smaller than the sum of its proper divisors (5351928).

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

2786952 is a wasteful number, since it uses less digits than its factorization.

2786952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2786952 is about 1669.4166645868. The cubic root of 2786952 is about 140.7266975968.

The spelling of 2786952 in words is "two million, seven hundred eighty-six thousand, nine hundred fifty-two".