2035196820 has 384 divisors, whose sum is σ = 7054387200. Its totient is φ = 484982784.

The previous prime is 2035196749. The next prime is 2035196831. The reversal of 2035196820 is 286915302.

It is a super-2 number, since 2×2035196820² = 8284052192276224800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 22867336 + ... + 22867424.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^2035196820 is an apocalyptic number.

2035196820 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 2035196820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527193600).

2035196820 is an abundant number, since it is smaller than the sum of its proper divisors (5019190380).

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

2035196820 is a wasteful number, since it uses less digits than its factorization.

2035196820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2035196820 is about 45113.1557308952. The cubic root of 2035196820 is about 1267.2689820905.

The spelling of 2035196820 in words is "two billion, thirty-five million, one hundred ninety-six thousand, eight hundred twenty".