2142864 has 60 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 682176.

The previous prime is 2142857. The next prime is 2142883. The reversal of 2142864 is 4682412.

It is a super-2 number, since 2×2142864² = 9183732244992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2989 + ... + 3635.

2^2142864 is an apocalyptic number.

2142864 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 2142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728).

2142864 is an abundant number, since it is smaller than the sum of its proper divisors (4124592).

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

2142864 is a wasteful number, since it uses less digits than its factorization.

2142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2142864 is about 1463.8524515811. The cubic root of 2142864 is about 128.9233364569.

The spelling of 2142864 in words is "two million, one hundred forty-two thousand, eight hundred sixty-four".