2769480 has 144 divisors (see below), whose sum is σ = 10537020. Its totient is φ = 628992.

The previous prime is 2769479. The next prime is 2769493. The reversal of 2769480 is 849672.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 86436 = 1638^2 + 294^2 .

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 + 7³ + 6⁸ + 9⁶ + 4⁵ + 8⁵ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17562 + ... + 17718.

2^2769480 is an apocalyptic number.

2769480 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 2769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268510).

2769480 is an abundant number, since it is smaller than the sum of its proper divisors (7767540).

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

2769480 is a wasteful number, since it uses less digits than its factorization.

2769480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2769480 is about 1664.1754715174. The cubic root of 2769480 is about 140.4319989402.

It can be divided in two parts, 2769 and 480, that added together give a square (3249 = 57²).

The spelling of 2769480 in words is "two million, seven hundred sixty-nine thousand, four hundred eighty".