2019264 has 56 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 620544.

The previous prime is 2019257. The next prime is 2019271. The reversal of 2019264 is 4629102.

It is an interprime number because it is at equal distance from previous prime (2019257) and next prime (2019271).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2092 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

2^2019264 is an apocalyptic number.

2019264 is a gapful number since it is divisible by the number (24) 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 2019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2019264 is an abundant number, since it is smaller than the sum of its proper divisors (3741456).

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

2019264 is a wasteful number, since it uses less digits than its factorization.

2019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2019264 is about 1421.0080928693. The cubic root of 2019264 is about 126.3953317723.

It can be divided in two parts, 201926 and 4, that added together give a triangular number (201930 = T₆₃₅).

The spelling of 2019264 in words is "two million, nineteen thousand, two hundred sixty-four".