2134498974960 has 320 divisors, whose sum is σ = 7314911815680. Its totient is φ = 510558397440.

The previous prime is 2134498974943. The next prime is 2134498974967. The reversal of 2134498974960 is 694798944312.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2134498974891 and 2134498974900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134498974967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181206351 + ... + 181218129.

It is an arithmetic number, because the mean of its divisors is an integer number (22859099424).

Almost surely, 2^{2134498974960} is an apocalyptic number.

2134498974960 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 2134498974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657455907840).

2134498974960 is an abundant number, since it is smaller than the sum of its proper divisors (5180412840720).

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

2134498974960 is a wasteful number, since it uses less digits than its factorization.

2134498974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 2134498974960 in words is "two trillion, one hundred thirty-four billion, four hundred ninety-eight million, nine hundred seventy-four thousand, nine hundred sixty".