2461428000 has 480 divisors, whose sum is σ = 9247125888. Its totient is φ = 641088000.

The previous prime is 2461427987. The next prime is 2461428001. The reversal of 2461428000 is 8241642.

2461428000 is a `hidden beast` number, since 24 + 614 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2461428001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23003947 + ... + 23004053.

Almost surely, 2^2461428000 is an apocalyptic number.

2461428000 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 2461428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623562944).

2461428000 is an abundant number, since it is smaller than the sum of its proper divisors (6785697888).

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

2461428000 is a wasteful number, since it uses less digits than its factorization.

2461428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2461428000 is about 49612.7806114513. The cubic root of 2461428000 is about 1350.1925651236.

Adding to 2461428000 its reverse (8241642), we get a palindrome (2469669642).

The spelling of 2461428000 in words is "two billion, four hundred sixty-one million, four hundred twenty-eight thousand".