2049960 has 64 divisors (see below), whose sum is σ = 6713280. Its totient is φ = 496640.

The previous prime is 2049953. The next prime is 2049961. The reversal of 2049960 is 699402.

2049960 = T₆₀₅ + T₆₀₆ + ... + T₆₁₅.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049961) 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, 544 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (104895).

2^2049960 is an apocalyptic number.

2049960 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 2049960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356640).

2049960 is an abundant number, since it is smaller than the sum of its proper divisors (4663320).

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

2049960 is a wasteful number, since it uses less digits than its factorization.

2049960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2049960 is about 1431.7681376536. The cubic root of 2049960 is about 127.0325830383.

The spelling of 2049960 in words is "two million, forty-nine thousand, nine hundred sixty".