2020761600 has 672 divisors, whose sum is σ = 8190975744. Its totient is φ = 432537600.

The previous prime is 2020761551. The next prime is 2020761637. The reversal of 2020761600 is 61670202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87859189 + ... + 87859211.

It is an arithmetic number, because the mean of its divisors is an integer number (12188952).

Almost surely, 2^2020761600 is an apocalyptic number.

2020761600 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 2020761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095487872).

2020761600 is an abundant number, since it is smaller than the sum of its proper divisors (6170214144).

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

2020761600 is a wasteful number, since it uses less digits than its factorization.

2020761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2020761600 is about 44952.8819988218. The cubic root of 2020761600 is about 1264.2657135133.

The spelling of 2020761600 in words is "two billion, twenty million, seven hundred sixty-one thousand, six hundred".