1941249024 has 352 divisors, whose sum is σ = 6767873280. Its totient is φ = 541900800.

The previous prime is 1941249001. The next prime is 1941249029. The reversal of 1941249024 is 4209421491.

It is a tau number, because it is divible by the number of its divisors (352).

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 1941249024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941249029) 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 31 ways as a sum of consecutive naturals, for example, 3953419 + ... + 3953909.

Almost surely, 2^1941249024 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 1941249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383936640).

1941249024 is an abundant number, since it is smaller than the sum of its proper divisors (4826624256).

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

1941249024 is a wasteful number, since it uses less digits than its factorization.

1941249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1941249024 is about 44059.6076242174. The cubic root of 1941249024 is about 1247.4613059699.

The spelling of 1941249024 in words is "one billion, nine hundred forty-one million, two hundred forty-nine thousand, twenty-four".