2461831680 has 640 divisors, whose sum is σ = 10295341056. Its totient is φ = 486604800.

The previous prime is 2461831649. The next prime is 2461831763. The reversal of 2461831680 is 861381642.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13601190 + ... + 13601370.

Almost surely, 2^2461831680 is an apocalyptic number.

2461831680 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 2461831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147670528).

2461831680 is an abundant number, since it is smaller than the sum of its proper divisors (7833509376).

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

2461831680 is a wasteful number, since it uses less digits than its factorization.

2461831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2461831680 is about 49616.8487512055. The cubic root of 2461831680 is about 1350.2663726778.

The spelling of 2461831680 in words is "two billion, four hundred sixty-one million, eight hundred thirty-one thousand, six hundred eighty".