2072114000 has 160 divisors (see below), whose sum is σ = 5527896192. Its totient is φ = 744960000.

The previous prime is 2072113961. The next prime is 2072114021. The reversal of 2072114000 is 4112702.

It is a self number, because there is not a number n which added to its sum of digits gives 2072114000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133515 + ... + 2134485.

Almost surely, 2^2072114000 is an apocalyptic number.

2072114000 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 2072114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763948096).

2072114000 is an abundant number, since it is smaller than the sum of its proper divisors (3455782192).

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

2072114000 is a wasteful number, since it uses less digits than its factorization.

2072114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2072114000 is about 45520.4789078498. The cubic root of 2072114000 is about 1274.8855978348.

Adding to 2072114000 its reverse (4112702), we get a palindrome (2076226702).

The spelling of 2072114000 in words is "two billion, seventy-two million, one hundred fourteen thousand".