2792240 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 956160.

The previous prime is 2792219. The next prime is 2792249. The reversal of 2792240 is 422972.

It is a Cunningham number, because it is equal to 1671²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2792249) 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, 16637 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2792240 is an apocalyptic number.

2792240 is a gapful number since it is divisible by the number (20) 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 2792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2792240 is an abundant number, since it is smaller than the sum of its proper divisors (4707280).

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

2792240 is a wasteful number, since it uses less digits than its factorization.

2792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2792240 is about 1670.9997007780. Note that the first 3 decimals coincide. The cubic root of 2792240 is about 140.8156469354.

The spelling of 2792240 in words is "two million, seven hundred ninety-two thousand, two hundred forty".