2073186900 has 270 divisors, whose sum is σ = 7102781070. Its totient is φ = 523013760.

The previous prime is 2073186883. The next prime is 2073186937. The reversal of 2073186900 is 96813702.

It can be written as a sum of positive squares in 3 ways, for example, as 4210704 + 2068976196 = 2052^2 + 45486^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×2073186900² = 8596207844663220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 89 ways as a sum of consecutive naturals, for example, 2923746 + ... + 2924454.

Almost surely, 2^2073186900 is an apocalyptic number.

2073186900 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 2073186900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551390535).

2073186900 is an abundant number, since it is smaller than the sum of its proper divisors (5029594170).

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

2073186900 is a wasteful number, since it uses less digits than its factorization.

2073186900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2073186900 is about 45532.2621884747. The cubic root of 2073186900 is about 1275.1055967905.

The spelling of 2073186900 in words is "two billion, seventy-three million, one hundred eighty-six thousand, nine hundred".