2461564 has 36 divisors (see below), whose sum is σ = 5282760. Its totient is φ = 997920.

The previous prime is 2461553. The next prime is 2461577. The reversal of 2461564 is 4651642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3394 + ... + 4054.

2^2461564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641380).

2461564 is an abundant number, since it is smaller than the sum of its proper divisors (2821196).

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

2461564 is a wasteful number, since it uses less digits than its factorization.

2461564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 2461564 is about 1568.9372199040. The cubic root of 2461564 is about 135.0217431828.

It can be divided in two parts, 2461 and 564, that added together give a square (3025 = 55²).

The spelling of 2461564 in words is "two million, four hundred sixty-one thousand, five hundred sixty-four".