2461200450 has 96 divisors (see below), whose sum is σ = 6197972352. Its totient is φ = 646272000.

The previous prime is 2461200431. The next prime is 2461200451. The reversal of 2461200450 is 540021642.

It is a self number, because there is not a number n which added to its sum of digits gives 2461200450.

It is not an unprimeable number, because it can be changed into a prime (2461200451) 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 47 ways as a sum of consecutive naturals, for example, 3723120 + ... + 3723780.

It is an arithmetic number, because the mean of its divisors is an integer number (64562212).

Almost surely, 2^2461200450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461200450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098986176).

2461200450 is an abundant number, since it is smaller than the sum of its proper divisors (3736771902).

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

2461200450 is a wasteful number, since it uses less digits than its factorization.

2461200450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2461200450 is about 49610.4872985541. The cubic root of 2461200450 is about 1350.1509570562.

The spelling of 2461200450 in words is "two billion, four hundred sixty-one million, two hundred thousand, four hundred fifty".