2663892 has 108 divisors (see below), whose sum is σ = 8674848. Its totient is φ = 669600.

The previous prime is 2663887. The next prime is 2663897. The reversal of 2663892 is 2983662.

It is an interprime number because it is at equal distance from previous prime (2663887) and next prime (2663897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁴ + 6³ + 6³ + 3¹³ + 8⁴ + 9² + 2²⁰ .

Its product of digits (31104) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85917 + ... + 85947.

2^2663892 is an apocalyptic number.

2663892 is a gapful number since it is divisible by the number (22) 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 2663892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337424).

2663892 is an abundant number, since it is smaller than the sum of its proper divisors (6010956).

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

2663892 is a wasteful number, since it uses less digits than its factorization.

2663892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2663892 is about 1632.1433760549. The cubic root of 2663892 is about 138.6241420187.

The spelling of 2663892 in words is "two million, six hundred sixty-three thousand, eight hundred ninety-two".