2872342000 has 160 divisors (see below), whose sum is σ = 7640028864. Its totient is φ = 1035776000.

The previous prime is 2872341977. The next prime is 2872342019. The reversal of 2872342000 is 2432782.

It is a self number, because there is not a number n which added to its sum of digits gives 2872342000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013524 + ... + 3014476.

Almost surely, 2^2872342000 is an apocalyptic number.

2872342000 is a gapful number since it is divisible by the number (20) 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 2872342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820014432).

2872342000 is an abundant number, since it is smaller than the sum of its proper divisors (4767686864).

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

2872342000 is a wasteful number, since it uses less digits than its factorization.

2872342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2872342000 is about 53594.2347645715. The cubic root of 2872342000 is about 1421.4951520060.

Adding to 2872342000 its reverse (2432782), we get a palindrome (2874774782).

The spelling of 2872342000 in words is "two billion, eight hundred seventy-two million, three hundred forty-two thousand".