2020007970900 has 216 divisors, whose sum is σ = 6428326623264. Its totient is φ = 530445484800.

The previous prime is 2020007970781. The next prime is 2020007970907. The reversal of 2020007970900 is 90797000202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020007970907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 336048895 + ... + 336054905.

It is an arithmetic number, because the mean of its divisors is an integer number (29760771404).

Almost surely, 2^{2020007970900} is an apocalyptic number.

2020007970900 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 2020007970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214163311632).

2020007970900 is an abundant number, since it is smaller than the sum of its proper divisors (4408318652364).

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

2020007970900 is a wasteful number, since it uses less digits than its factorization.

2020007970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11671 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 2020007970900 in words is "two trillion, twenty billion, seven million, nine hundred seventy thousand, nine hundred".