2041149042240 has 1792 divisors, whose sum is σ = 9180915425280. Its totient is φ = 370810552320.

The previous prime is 2041149042217. The next prime is 2041149042253. The reversal of 2041149042240 is 422409411402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1265435674 + ... + 1265437286.

Almost surely, 2^{2041149042240} is an apocalyptic number.

2041149042240 is a gapful number since it is divisible by the number (20) 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 2041149042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590457712640).

2041149042240 is an abundant number, since it is smaller than the sum of its proper divisors (7139766383040).

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

2041149042240 is a wasteful number, since it uses less digits than its factorization.

2041149042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 2041149042240 in words is "two trillion, forty-one billion, one hundred forty-nine million, forty-two thousand, two hundred forty".