2483401536 has 504 divisors, whose sum is σ = 9531156960. Its totient is φ = 609638400.

The previous prime is 2483401519. The next prime is 2483401541. The reversal of 2483401536 is 6351043842.

2483401536 is a `hidden beast` number, since 2 + 4 + 83 + 40 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2483401536.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5898606 + ... + 5899026.

Almost surely, 2^2483401536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765578480).

2483401536 is an abundant number, since it is smaller than the sum of its proper divisors (7047755424).

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

2483401536 is a wasteful number, since it uses less digits than its factorization.

2483401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2483401536 is about 49833.7389325746. The cubic root of 2483401536 is about 1354.1984586049.

The spelling of 2483401536 in words is "two billion, four hundred eighty-three million, four hundred one thousand, five hundred thirty-six".