2136764782460 has 288 divisors, whose sum is σ = 6092340065280. Its totient is φ = 620604633600.

The previous prime is 2136764782433. The next prime is 2136764782463. The reversal of 2136764782460 is 642874676312.

It is a happy number.

It is a super-2 number, since 2×2136764782460² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2136764782396 and 2136764782405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136764782463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12408509 + ... + 12579531.

It is an arithmetic number, because the mean of its divisors is an integer number (21153958560).

Almost surely, 2^{2136764782460} is an apocalyptic number.

2136764782460 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 2136764782460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046170032640).

2136764782460 is an abundant number, since it is smaller than the sum of its proper divisors (3955575282820).

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

2136764782460 is a wasteful number, since it uses less digits than its factorization.

2136764782460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171137 (or 171128 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 2136764782460 in words is "two trillion, one hundred thirty-six billion, seven hundred sixty-four million, seven hundred eighty-two thousand, four hundred sixty".