2413029792 has 192 divisors, whose sum is σ = 6885648000. Its totient is φ = 737538048.

The previous prime is 2413029763. The next prime is 2413029809. The reversal of 2413029792 is 2979203142.

It is a self number, because there is not a number n which added to its sum of digits gives 2413029792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10537134 + ... + 10537362.

It is an arithmetic number, because the mean of its divisors is an integer number (35862750).

Almost surely, 2^2413029792 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 2413029792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442824000).

2413029792 is an abundant number, since it is smaller than the sum of its proper divisors (4472618208).

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

2413029792 is a wasteful number, since it uses less digits than its factorization.

2413029792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2413029792 is about 49122.5996054769. The cubic root of 2413029792 is about 1341.2844652632.

The spelling of 2413029792 in words is "two billion, four hundred thirteen million, twenty-nine thousand, seven hundred ninety-two".