2362464 has 72 divisors (see below), whose sum is σ = 7246512. Its totient is φ = 725760.

The previous prime is 2362457. The next prime is 2362483. The reversal of 2362464 is 4642632.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (100646).

2^2362464 is an apocalyptic number.

2362464 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 2362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623256).

2362464 is an abundant number, since it is smaller than the sum of its proper divisors (4884048).

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

2362464 is a wasteful number, since it uses less digits than its factorization.

2362464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2362464 is about 1537.0309040485. The cubic root of 2362464 is about 133.1849237597.

The spelling of 2362464 in words is "two million, three hundred sixty-two thousand, four hundred sixty-four".