2029780800 has 252 divisors, whose sum is σ = 7448678016. Its totient is φ = 523699200.

The previous prime is 2029780799. The next prime is 2029780813. The reversal of 2029780800 is 80879202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444127 + ... + 448673.

Almost surely, 2^2029780800 is an apocalyptic number.

2029780800 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 2029780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724339008).

2029780800 is an abundant number, since it is smaller than the sum of its proper divisors (5418897216).

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

2029780800 is a wasteful number, since it uses less digits than its factorization.

2029780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2029780800 is about 45053.0886843510. The cubic root of 2029780800 is about 1266.1438408624.

The spelling of 2029780800 in words is "two billion, twenty-nine million, seven hundred eighty thousand, eight hundred".