2129790462534 has 160 divisors (see below), whose sum is σ = 5548426076160. Its totient is φ = 598073559552.

The previous prime is 2129790462529. The next prime is 2129790462539. The reversal of 2129790462534 is 4352640979212.

It is a happy number.

2129790462534 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 7 + 9 + 0 + 4 + 625 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2129790462529) and next prime (2129790462539).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129790462539) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15340822 + ... + 15479030.

It is an arithmetic number, because the mean of its divisors is an integer number (34677662976).

Almost surely, 2^{2129790462534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129790462534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774213038080).

2129790462534 is an abundant number, since it is smaller than the sum of its proper divisors (3418635613626).

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

2129790462534 is a wasteful number, since it uses less digits than its factorization.

2129790462534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138464 (or 138455 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2129790462534 in words is "two trillion, one hundred twenty-nine billion, seven hundred ninety million, four hundred sixty-two thousand, five hundred thirty-four".