2761416 has 48 divisors (see below), whose sum is σ = 8548800. Its totient is φ = 788832.

The previous prime is 2761411. The next prime is 2761439. The reversal of 2761416 is 6141672.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2761416.

It is not an unprimeable number, because it can be changed into a prime (2761411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (178100).

2^2761416 is an apocalyptic number.

It is an amenable number.

2761416 is an abundant number, since it is smaller than the sum of its proper divisors (5787384).

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

2761416 is a wasteful number, since it uses less digits than its factorization.

2761416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5491 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2761416 is about 1661.7508838571. The cubic root of 2761416 is about 140.2955660422.

The spelling of 2761416 in words is "two million, seven hundred sixty-one thousand, four hundred sixteen".