2764416 has 64 divisors (see below), whose sum is σ = 7686720. Its totient is φ = 878592.

The previous prime is 2764373. The next prime is 2764423. The reversal of 2764416 is 6144672.

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, 8676 + ... + 8988.

It is an arithmetic number, because the mean of its divisors is an integer number (120105).

2^2764416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843360).

2764416 is an abundant number, since it is smaller than the sum of its proper divisors (4922304).

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

2764416 is a wasteful number, since it uses less digits than its factorization.

2764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2764416 is about 1662.6533012026. The cubic root of 2764416 is about 140.3463533162.

It can be divided in two parts, 276 and 4416, that multiplied together give a square (1218816 = 1104²).

The spelling of 2764416 in words is "two million, seven hundred sixty-four thousand, four hundred sixteen".