2021760000 has 660 divisors, whose sum is σ = 8147010872. Its totient is φ = 497664000.

The previous prime is 2021759963. The next prime is 2021760001. The reversal of 2021760000 is 671202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021760001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155519994 + ... + 155520006.

Almost surely, 2^2021760000 is an apocalyptic number.

2021760000 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 2021760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073505436).

2021760000 is an abundant number, since it is smaller than the sum of its proper divisors (6125250872).

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

2021760000 is an frugal number, since it uses more digits than its factorization.

2021760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2021760000 is about 44963.9855884685. The cubic root of 2021760000 is about 1264.4738916356.

The spelling of 2021760000 in words is "two billion, twenty-one million, seven hundred sixty thousand".