2764160 has 64 divisors (see below), whose sum is σ = 7564320. Its totient is φ = 946176.

The previous prime is 2764147. The next prime is 2764171. The reversal of 2764160 is 614672.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4172 + ... + 4788.

2^2764160 is an apocalyptic number.

2764160 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 2764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782160).

2764160 is an abundant number, since it is smaller than the sum of its proper divisors (4800160).

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

2764160 is an equidigital number, since it uses as much as digits as its factorization.

2764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2764160 is about 1662.5763140379. The cubic root of 2764160 is about 140.3420209032.

The spelling of 2764160 in words is "two million, seven hundred sixty-four thousand, one hundred sixty".