20014002000 has 480 divisors, whose sum is σ = 75501953280. Its totient is φ = 4926028800.

The previous prime is 20014001983. The next prime is 20014002061. The reversal of 20014002000 is 20041002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12005167 + ... + 12006833.

It is an arithmetic number, because the mean of its divisors is an integer number (157295736).

Almost surely, 2^20014002000 is an apocalyptic number.

20014002000 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 20014002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37750976640).

20014002000 is an abundant number, since it is smaller than the sum of its proper divisors (55487951280).

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

20014002000 is a wasteful number, since it uses less digits than its factorization.

20014002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20014002000 its reverse (20041002), we get a palindrome (20034043002).

It can be divided in two parts, 2001 and 4002000, that added together give a square (4004001 = 2001²).

The spelling of 20014002000 in words is "twenty billion, fourteen million, two thousand".