2036672100 has 180 divisors, whose sum is σ = 6815897088. Its totient is φ = 525528000.

The previous prime is 2036672093. The next prime is 2036672107. The reversal of 2036672100 is 12766302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2036672093) and next prime (2036672107).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2036672107) 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, 247045 + ... + 255155.

Almost surely, 2^2036672100 is an apocalyptic number.

2036672100 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 2036672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407948544).

2036672100 is an abundant number, since it is smaller than the sum of its proper divisors (4779224988).

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

2036672100 is a wasteful number, since it uses less digits than its factorization.

2036672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2036672100 is about 45129.5036533751. The cubic root of 2036672100 is about 1267.5751154671.

The spelling of 2036672100 in words is "two billion, thirty-six million, six hundred seventy-two thousand, one hundred".