2461203360 has 768 divisors, whose sum is σ = 11031552000. Its totient is φ = 508032000.

The previous prime is 2461203331. The next prime is 2461203403. The reversal of 2461203360 is 633021642.

2461203360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16299285 + ... + 16299435.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^2461203360 is an apocalyptic number.

2461203360 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 2461203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776000).

2461203360 is an abundant number, since it is smaller than the sum of its proper divisors (8570348640).

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

2461203360 is a wasteful number, since it uses less digits than its factorization.

2461203360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2461203360 is about 49610.5166270217. The cubic root of 2461203360 is about 1350.1514891730.

The spelling of 2461203360 in words is "two billion, four hundred sixty-one million, two hundred three thousand, three hundred sixty".