2461536 has 192 divisors, whose sum is σ = 9192960. Its totient is φ = 622080.

The previous prime is 2461519. The next prime is 2461553. The reversal of 2461536 is 6351642.

It is an interprime number because it is at equal distance from previous prime (2461519) and next prime (2461553).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66510 + ... + 66546.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^2461536 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 2461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2461536 is an abundant number, since it is smaller than the sum of its proper divisors (6731424).

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

2461536 is a wasteful number, since it uses less digits than its factorization.

2461536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2461536 is about 1568.9282966407. The cubic root of 2461536 is about 135.0212312287.

The spelling of 2461536 in words is "two million, four hundred sixty-one thousand, five hundred thirty-six".