201980460000 has 720 divisors, whose sum is σ = 746329997952. Its totient is φ = 47752320000.

The previous prime is 201980459983. The next prime is 201980460001. The reversal of 201980460000 is 64089102.

201980460000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201980460000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 201980460000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201980460001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312179677 + ... + 312180323.

Almost surely, 2^201980460000 is an apocalyptic number.

201980460000 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 201980460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373164998976).

201980460000 is an abundant number, since it is smaller than the sum of its proper divisors (544349537952).

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

201980460000 is a wasteful number, since it uses less digits than its factorization.

201980460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 201980460000 in words is "two hundred one billion, nine hundred eighty million, four hundred sixty thousand".