2248992 has 96 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 705024.

The previous prime is 2248991. The next prime is 2248999. The reversal of 2248992 is 2998422.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2248991) 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, 16348 + ... + 16484.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2^2248992 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 2248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2248992 is an abundant number, since it is smaller than the sum of its proper divisors (4706208).

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

2248992 is a wasteful number, since it uses less digits than its factorization.

2248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2248992 is about 1499.6639623596. The cubic root of 2248992 is about 131.0174985851.

It can be divided in two parts, 2248 and 992, that added together give a triangular number (3240 = T₈₀).

The spelling of 2248992 in words is "two million, two hundred forty-eight thousand, nine hundred ninety-two".