2136777300 has 432 divisors, whose sum is σ = 8264471040. Its totient is φ = 471744000.

The previous prime is 2136777289. The next prime is 2136777301. The reversal of 2136777300 is 37776312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136777301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4101040 + ... + 4101560.

It is an arithmetic number, because the mean of its divisors is an integer number (19130720).

Almost surely, 2^2136777300 is an apocalyptic number.

2136777300 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 2136777300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132235520).

2136777300 is an abundant number, since it is smaller than the sum of its proper divisors (6127693740).

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

2136777300 is a wasteful number, since it uses less digits than its factorization.

2136777300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 2136777300 is about 46225.2885334424. The cubic root of 2136777300 is about 1288.0115389640.

The spelling of 2136777300 in words is "two billion, one hundred thirty-six million, seven hundred seventy-seven thousand, three hundred".