2612544 has 56 divisors (see below), whose sum is σ = 7546848. Its totient is φ = 791040.

The previous prime is 2612539. The next prime is 2612549. The reversal of 2612544 is 4452162.

2612544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2612539) and next prime (2612549).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494 + ... + 2730.

2^2612544 is an apocalyptic number.

2612544 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 2612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773424).

2612544 is an abundant number, since it is smaller than the sum of its proper divisors (4934304).

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

2612544 is a wasteful number, since it uses less digits than its factorization.

2612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2612544 is about 1616.3365986081. The cubic root of 2612544 is about 137.7276713006.

The spelling of 2612544 in words is "two million, six hundred twelve thousand, five hundred forty-four".