2461600000 has 216 divisors, whose sum is σ = 6538784616. Its totient is φ = 921600000.

The previous prime is 2461599913. The next prime is 2461600021. The reversal of 2461600000 is 61642.

It can be written as a sum of positive squares in 12 ways, for example, as 2403352576 + 58247424 = 49024^2 + 7632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13599910 + ... + 13600090.

It is an arithmetic number, because the mean of its divisors is an integer number (30272151).

Almost surely, 2^2461600000 is an apocalyptic number.

2461600000 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 2461600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269392308).

2461600000 is an abundant number, since it is smaller than the sum of its proper divisors (4077184616).

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

2461600000 is an frugal number, since it uses more digits than its factorization.

2461600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

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

The square root of 2461600000 is about 49614.5140054803. The cubic root of 2461600000 is about 1350.2240140376.

Adding to 2461600000 its reverse (61642), we get a palindrome (2461661642).

The spelling of 2461600000 in words is "two billion, four hundred sixty-one million, six hundred thousand".