2919264 has 48 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 950912.

The previous prime is 2919251. The next prime is 2919269. The reversal of 2919264 is 4629192.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2919269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

2^2919264 is an apocalyptic number.

2919264 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 2919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2919264 is an abundant number, since it is smaller than the sum of its proper divisors (4918944).

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

2919264 is a wasteful number, since it uses less digits than its factorization.

2919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 2919264 is about 1708.5853797806. The cubic root of 2919264 is about 142.9193801198.

The spelling of 2919264 in words is "two million, nine hundred nineteen thousand, two hundred sixty-four".