2064383100 has 432 divisors, whose sum is σ = 7524080928. Its totient is φ = 468910080.

The previous prime is 2064383081. The next prime is 2064383119. The reversal of 2064383100 is 13834602.

It is a happy number.

2064383100 is a `hidden beast` number, since 2 + 0 + 643 + 8 + 3 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2064383081) and next prime (2064383119).

It is a super-2 number, since 2×2064383100² = 8523355167131220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19293247 + ... + 19293353.

It is an arithmetic number, because the mean of its divisors is an integer number (17416854).

Almost surely, 2^2064383100 is an apocalyptic number.

2064383100 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 2064383100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762040464).

2064383100 is an abundant number, since it is smaller than the sum of its proper divisors (5459697828).

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

2064383100 is a wasteful number, since it uses less digits than its factorization.

2064383100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2064383100 is about 45435.4828300525. The cubic root of 2064383100 is about 1273.2981214888.

The spelling of 2064383100 in words is "two billion, sixty-four million, three hundred eighty-three thousand, one hundred".