2891664 has 60 divisors (see below), whose sum is σ = 8298576. Its totient is φ = 939456.

The previous prime is 2891657. The next prime is 2891671. The reversal of 2891664 is 4661982.

It is an interprime number because it is at equal distance from previous prime (2891657) and next prime (2891671).

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

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5959 + ... + 6425.

2^2891664 is an apocalyptic number.

2891664 is a gapful number since it is divisible by the number (24) 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 2891664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149288).

2891664 is an abundant number, since it is smaller than the sum of its proper divisors (5406912).

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

2891664 is a wasteful number, since it uses less digits than its factorization.

2891664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2891664 is about 1700.4893413368. The cubic root of 2891664 is about 142.4675457024.

It can be divided in two parts, 289 and 1664, that added together give a triangular number (1953 = T₆₂).

The spelling of 2891664 in words is "two million, eight hundred ninety-one thousand, six hundred sixty-four".