2289742920 has 192 divisors, whose sum is σ = 8222497920. Its totient is φ = 549660672.

The previous prime is 2289742919. The next prime is 2289742921. The reversal of 2289742920 is 292479822.

It is an interprime number because it is at equal distance from previous prime (2289742919) and next prime (2289742921).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2289742921) 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 47 ways as a sum of consecutive naturals, for example, 132627 + ... + 148893.

It is an arithmetic number, because the mean of its divisors is an integer number (42825510).

Almost surely, 2^2289742920 is an apocalyptic number.

2289742920 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 2289742920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111248960).

2289742920 is an abundant number, since it is smaller than the sum of its proper divisors (5932755000).

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

2289742920 is a wasteful number, since it uses less digits than its factorization.

2289742920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324 (or 16317 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2289742920 is about 47851.2582906657. The cubic root of 2289742920 is about 1318.0409645223.

The spelling of 2289742920 in words is "two billion, two hundred eighty-nine million, seven hundred forty-two thousand, nine hundred twenty".