2746464 has 96 divisors (see below), whose sum is σ = 8499456. Its totient is φ = 760320.

The previous prime is 2746463. The next prime is 2746481. The reversal of 2746464 is 4646472.

2746464 = 177² + 178² + ... + 239².

2746464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746463) 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, 40959 + ... + 41025.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

2^2746464 is an apocalyptic number.

2746464 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 2746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728).

2746464 is an abundant number, since it is smaller than the sum of its proper divisors (5752992).

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

2746464 is a wasteful number, since it uses less digits than its factorization.

2746464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 2746464 is about 1657.2459081259. The cubic root of 2746464 is about 140.0418922252.

The spelling of 2746464 in words is "two million, seven hundred forty-six thousand, four hundred sixty-four".