2142710615136 has 288 divisors, whose sum is σ = 7053993203040. Its totient is φ = 564487225344.

The previous prime is 2142710615099. The next prime is 2142710615161. The reversal of 2142710615136 is 6315160172412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2142710615094 and 2142710615103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56791350 + ... + 56829066.

It is an arithmetic number, because the mean of its divisors is an integer number (24493031955).

Almost surely, 2^{2142710615136} is an apocalyptic number.

2142710615136 is a gapful number since it is divisible by the number (26) 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 2142710615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526996601520).

2142710615136 is an abundant number, since it is smaller than the sum of its proper divisors (4911282587904).

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

2142710615136 is a wasteful number, since it uses less digits than its factorization.

2142710615136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38686 (or 38671 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 2142710615136 its reverse (6315160172412), we get a palindrome (8457870787548).

The spelling of 2142710615136 in words is "two trillion, one hundred forty-two billion, seven hundred ten million, six hundred fifteen thousand, one hundred thirty-six".