2461600 has 72 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 921600.

The previous prime is 2461579. The next prime is 2461601. The reversal of 2461600 is 61642.

It can be written as a sum of positive squares in 6 ways, for example, as 467856 + 1993744 = 684^2 + 1412^2 .

It is not an unprimeable number, because it can be changed into a prime (2461601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13510 + ... + 13690.

2^2461600 is an apocalyptic number.

2461600 is a gapful number since it is divisible by the number (20) 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 2461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2461600 is an abundant number, since it is smaller than the sum of its proper divisors (3936428).

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

2461600 is a wasteful number, since it uses less digits than its factorization.

2461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2461600 is about 1568.9486925964. The cubic root of 2461600 is about 135.0224014038.

The spelling of 2461600 in words is "two million, four hundred sixty-one thousand, six hundred".