2704416 has 96 divisors (see below), whose sum is σ = 8382528. Its totient is φ = 752640.

The previous prime is 2704393. The next prime is 2704417. The reversal of 2704416 is 6144072.

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 (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2704417) 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, 13630 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (87318).

2^2704416 is an apocalyptic number.

2704416 is a gapful number since it is divisible by the number (26) 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 2704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264).

2704416 is an abundant number, since it is smaller than the sum of its proper divisors (5678112).

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

2704416 is a wasteful number, since it uses less digits than its factorization.

2704416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2704416 is about 1644.5108695293. The cubic root of 2704416 is about 139.3235394218.

Subtracting from 2704416 its product of nonzero digits (1344), we obtain a palindrome (2703072).

Adding to 2704416 its reverse (6144072), we get a palindrome (8848488).

It can be divided in two parts, 2704 and 416, that multiplied together give a cube (1124864 = 104³).

The spelling of 2704416 in words is "two million, seven hundred four thousand, four hundred sixteen".