2290429920 has 96 divisors (see below), whose sum is σ = 7225358112. Its totient is φ = 609892352.

The previous prime is 2290429901. The next prime is 2290429943. The reversal of 2290429920 is 299240922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 367954 + ... + 374126.

It is an arithmetic number, because the mean of its divisors is an integer number (75264147).

Almost surely, 2^2290429920 is an apocalyptic number.

2290429920 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 2290429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612679056).

2290429920 is an abundant number, since it is smaller than the sum of its proper divisors (4934928192).

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

2290429920 is a wasteful number, since it uses less digits than its factorization.

2290429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2290429920 is about 47858.4362469147. The cubic root of 2290429920 is about 1318.1727702359.

The spelling of 2290429920 in words is "two billion, two hundred ninety million, four hundred twenty-nine thousand, nine hundred twenty".