2769240 has 64 divisors (see below), whose sum is σ = 8501760. Its totient is φ = 721280.

The previous prime is 2769167. The next prime is 2769241. The reversal of 2769240 is 429672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2¹³ + 7 + 6⁸ + 9² + 2¹⁵ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2769198 and 2769207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769241) 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, 5395 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (132840).

2^2769240 is an apocalyptic number.

2769240 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 2769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250880).

2769240 is an abundant number, since it is smaller than the sum of its proper divisors (5732520).

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

2769240 is a wasteful number, since it uses less digits than its factorization.

2769240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2769240 is about 1664.1033621744. The cubic root of 2769240 is about 140.4279422637.

The spelling of 2769240 in words is "two million, seven hundred sixty-nine thousand, two hundred forty".