2036880 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 506880.

The previous prime is 2036869. The next prime is 2036891. The reversal of 2036880 is 886302.

It is an interprime number because it is at equal distance from previous prime (2036869) and next prime (2036891).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49660 + ... + 49700.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^2036880 is an apocalyptic number.

2036880 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 2036880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2036880 is an abundant number, since it is smaller than the sum of its proper divisors (5462640).

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

2036880 is a wasteful number, since it uses less digits than its factorization.

2036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2036880 is about 1427.1930493104. The cubic root of 2036880 is about 126.7618244632.

Adding to 2036880 its product of nonzero digits (2304), we get a square (2039184 = 1428²).

It can be divided in two parts, 2036 and 880, that added together give a square (2916 = 54²).

The spelling of 2036880 in words is "two million, thirty-six thousand, eight hundred eighty".