2142861000 has 256 divisors, whose sum is σ = 7759964160. Its totient is φ = 482169600.

The previous prime is 2142860981. The next prime is 2142861029. The reversal of 2142861000 is 1682412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406239 + ... + 1407761.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^2142861000 is an apocalyptic number.

2142861000 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 2142861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879982080).

2142861000 is an abundant number, since it is smaller than the sum of its proper divisors (5617103160).

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

2142861000 is a wasteful number, since it uses less digits than its factorization.

2142861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2142861000 is about 46291.0466505133. The cubic root of 2142861000 is about 1289.2327629280.

It can be divided in two parts, 21428 and 61000, that added together give a palindrome (82428).

The spelling of 2142861000 in words is "two billion, one hundred forty-two million, eight hundred sixty-one thousand".