2034960 has 80 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 529920.

The previous prime is 2034947. The next prime is 2034973. The reversal of 2034960 is 694302.

It is an interprime number because it is at equal distance from previous prime (2034947) and next prime (2034973).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2034960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14571 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2034960 is an apocalyptic number.

2034960 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 2034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2034960 is an abundant number, since it is smaller than the sum of its proper divisors (4422960).

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

2034960 is a wasteful number, since it uses less digits than its factorization.

2034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2034960 is about 1426.5202417071. The cubic root of 2034960 is about 126.7219826111.

It can be divided in two parts, 20 and 34960, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 2034960 in words is "two million, thirty-four thousand, nine hundred sixty".