2041924290624 has 336 divisors, whose sum is σ = 6165405642240. Its totient is φ = 645228380160.

The previous prime is 2041924290619. The next prime is 2041924290629. The reversal of 2041924290624 is 4260924291402.

It is a happy number.

2041924290624 is a `hidden beast` number, since 2 + 0 + 4 + 19 + 2 + 4 + 2 + 9 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2041924290619) and next prime (2041924290629).

It is a super-2 number, since 2×2041924290624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2041924290624.

It is not an unprimeable number, because it can be changed into a prime (2041924290629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782645032 + ... + 782647640.

Almost surely, 2^{2041924290624} is an apocalyptic number.

2041924290624 is a gapful number since it is divisible by the number (24) 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 2041924290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082702821120).

2041924290624 is an abundant number, since it is smaller than the sum of its proper divisors (4123481351616).

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

2041924290624 is a wasteful number, since it uses less digits than its factorization.

2041924290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2041924290624 in words is "two trillion, forty-one billion, nine hundred twenty-four million, two hundred ninety thousand, six hundred twenty-four".