2290928442240 has 128 divisors (see below), whose sum is σ = 7304472756000. Its totient is φ = 610735357952.

The previous prime is 2290928442169. The next prime is 2290928442247. The reversal of 2290928442240 is 422448290922.

2290928442240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2290928442240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290928442247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6449104 + ... + 6795056.

Almost surely, 2^{2290928442240} is an apocalyptic number.

2290928442240 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 2290928442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652236378000).

2290928442240 is an abundant number, since it is smaller than the sum of its proper divisors (5013544313760).

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

2290928442240 is a wasteful number, since it uses less digits than its factorization.

2290928442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349424 (or 349412 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 2290928442240 in words is "two trillion, two hundred ninety billion, nine hundred twenty-eight million, four hundred forty-two thousand, two hundred forty".