2953920 has 112 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 737280.

The previous prime is 2953891. The next prime is 2953921. The reversal of 2953920 is 293592.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2953921) 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, 16230 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

2^2953920 is an apocalyptic number.

2953920 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 2953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

2953920 is an abundant number, since it is smaller than the sum of its proper divisors (7031328).

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

2953920 is a wasteful number, since it uses less digits than its factorization.

2953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2953920 is about 1718.6971810066. The cubic root of 2953920 is about 143.4827118833.

The spelling of 2953920 in words is "two million, nine hundred fifty-three thousand, nine hundred twenty".