2959920 has 60 divisors (see below), whose sum is σ = 9942816. Its totient is φ = 789120.

The previous prime is 2959867. The next prime is 2959937. The reversal of 2959920 is 299592.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2959920² = 17522252812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336 + ... + 2775.

2^2959920 is an apocalyptic number.

2959920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2959920 is an abundant number, since it is smaller than the sum of its proper divisors (6982896).

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

2959920 is a wasteful number, since it uses less digits than its factorization.

2959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2959920 is about 1720.4418037237. The cubic root of 2959920 is about 143.5797935064.

The spelling of 2959920 in words is "two million, nine hundred fifty-nine thousand, nine hundred twenty".