2041413990 has 288 divisors, whose sum is σ = 6549984000. Its totient is φ = 404933760.

The previous prime is 2041413989. The next prime is 2041414019. The reversal of 2041413990 is 993141402.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4090761 + ... + 4091259.

It is an arithmetic number, because the mean of its divisors is an integer number (22743000).

Almost surely, 2^2041413990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041413990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274992000).

2041413990 is an abundant number, since it is smaller than the sum of its proper divisors (4508570010).

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

2041413990 is a wasteful number, since it uses less digits than its factorization.

2041413990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2041413990 is about 45182.0095834614. The cubic root of 2041413990 is about 1268.5580986018.

The spelling of 2041413990 in words is "two billion, forty-one million, four hundred thirteen thousand, nine hundred ninety".