2034719662096 has 135 divisors (see below), whose sum is σ = 4605543546877. Its totient is φ = 870011845120.

The previous prime is 2034719662093. The next prime is 2034719662097. The reversal of 2034719662096 is 6902669174302.

The square root of 2034719662096 is 1426436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1584124304400 + 450595357696 = 1258620^2 + 671264^2 .

It is a super-2 number, since 2×2034719662096² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2034719662093) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1066973175 + ... + 1066975081.

Almost surely, 2^{2034719662096} is an apocalyptic number.

2034719662096 is the 1426436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034719662096

2034719662096 is an abundant number, since it is smaller than the sum of its proper divisors (2570823884781).

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

2034719662096 is an equidigital number, since it uses as much as digits as its factorization.

2034719662096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 2034719662096 in words is "two trillion, thirty-four billion, seven hundred nineteen million, six hundred sixty-two thousand, ninety-six".