2919000564 has 168 divisors, whose sum is σ = 8117649792. Its totient is φ = 916090560.

The previous prime is 2919000563. The next prime is 2919000569. The reversal of 2919000564 is 4650009192.

2919000564 is a `hidden beast` number, since 2 + 9 + 1 + 90 + 0 + 0 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2919000563) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4761522 + ... + 4762134.

It is an arithmetic number, because the mean of its divisors is an integer number (48319344).

Almost surely, 2^2919000564 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 2919000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058824896).

2919000564 is an abundant number, since it is smaller than the sum of its proper divisors (5198649228).

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

2919000564 is a wasteful number, since it uses less digits than its factorization.

2919000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2919000564 is about 54027.7758564981. The cubic root of 2919000564 is about 1429.1508094916.

The spelling of 2919000564 in words is "two billion, nine hundred nineteen million, five hundred sixty-four", and thus it is an aban number.