2041292340 has 288 divisors, whose sum is σ = 7027098624. Its totient is φ = 495175680.

The previous prime is 2041292329. The next prime is 2041292497. The reversal of 2041292340 is 432921402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2560822 + ... + 2561618.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 2^2041292340 is an apocalyptic number.

2041292340 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 2041292340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513549312).

2041292340 is an abundant number, since it is smaller than the sum of its proper divisors (4985806284).

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

2041292340 is a wasteful number, since it uses less digits than its factorization.

2041292340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2041292340 is about 45180.6633417439. The cubic root of 2041292340 is about 1268.5328998655.

The spelling of 2041292340 in words is "two billion, forty-one million, two hundred ninety-two thousand, three hundred forty".