2769984 has 112 divisors (see below), whose sum is σ = 9347200. Its totient is φ = 787968.

The previous prime is 2769983. The next prime is 2770043. The reversal of 2769984 is 4899672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2769984² = 15345622720512, which contains 22 as substring.

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 (2769983) 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, 11982 + ... + 12210.

2^2769984 is an apocalyptic number.

2769984 is a gapful number since it is divisible by the number (24) 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 2769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673600).

2769984 is an abundant number, since it is smaller than the sum of its proper divisors (6577216).

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

2769984 is a wasteful number, since it uses less digits than its factorization.

2769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2769984 is about 1664.3268909682. The cubic root of 2769984 is about 140.4405171981.

It can be divided in two parts, 27 and 69984, that multiplied together give a 5-th power (1889568 = 18⁵).

The spelling of 2769984 in words is "two million, seven hundred sixty-nine thousand, nine hundred eighty-four".