2461984 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1016064.

The previous prime is 2461973. The next prime is 2461993. The reversal of 2461984 is 4891642.

It is a super-2 number, since 2×2461984² = 12122730432512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6307 + ... + 6685.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

2^2461984 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 2461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2461984 is an abundant number, since it is smaller than the sum of its proper divisors (3283616).

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

2461984 is a wasteful number, since it uses less digits than its factorization.

2461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 2461984 is about 1569.0710627629. The cubic root of 2461984 is about 135.0294220281.

The spelling of 2461984 in words is "two million, four hundred sixty-one thousand, nine hundred eighty-four".