2892348 has 60 divisors (see below), whose sum is σ = 7724640. Its totient is φ = 943488.

The previous prime is 2892341. The next prime is 2892359. The reversal of 2892348 is 8432982.

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 2¹⁹ + 8 + 9⁴ + 2²¹ + 3⁷ + 4⁹ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25540 + ... + 25652.

It is an arithmetic number, because the mean of its divisors is an integer number (128744).

2^2892348 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 2892348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862320).

2892348 is an abundant number, since it is smaller than the sum of its proper divisors (4832292).

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

2892348 is a wasteful number, since it uses less digits than its factorization.

2892348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2892348 is about 1700.6904480240. The cubic root of 2892348 is about 142.4787780031.

It can be divided in two parts, 2892 and 348, that added together give a triangular number (3240 = T₈₀).

The spelling of 2892348 in words is "two million, eight hundred ninety-two thousand, three hundred forty-eight".