2951564 has 54 divisors (see below), whose sum is σ = 6736716. Its totient is φ = 1118880.

The previous prime is 2951539. The next prime is 2951569. The reversal of 2951564 is 4651592.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2951564.

It is not an unprimeable number, because it can be changed into a prime (2951569) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79754 + ... + 79790.

It is an arithmetic number, because the mean of its divisors is an integer number (124754).

2^2951564 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 2951564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368358).

2951564 is an abundant number, since it is smaller than the sum of its proper divisors (3785152).

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

2951564 is a wasteful number, since it uses less digits than its factorization.

2951564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 2951564 is about 1718.0116414041. The cubic root of 2951564 is about 143.4445552212. Note that the first 3 decimals are identical.

The spelling of 2951564 in words is "two million, nine hundred fifty-one thousand, five hundred sixty-four".