6002049024 has 184 divisors, whose sum is σ = 18119391120. Its totient is φ = 1962934272.

The previous prime is 6002048989. The next prime is 6002049043. The reversal of 6002049024 is 4209402006.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113246182 + ... + 113246234.

Almost surely, 2^6002049024 is an apocalyptic number.

6002049024 is a gapful number since it is divisible by the number (64) 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 6002049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059695560).

6002049024 is an abundant number, since it is smaller than the sum of its proper divisors (12117342096).

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

6002049024 is an frugal number, since it uses more digits than its factorization.

6002049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6002049024 is about 77472.8921881712. The cubic root of 6002049024 is about 1817.3274206067.

The spelling of 6002049024 in words is "six billion, two million, forty-nine thousand, twenty-four".