2034070311312 has 400 divisors, whose sum is σ = 6416673056640. Its totient is φ = 618340552704.

The previous prime is 2034070311281. The next prime is 2034070311331. The reversal of 2034070311312 is 2131130704302.

It is a happy number.

2034070311312 is a `hidden beast` number, since 2 + 0 + 34 + 0 + 7 + 0 + 311 + 312 = 666.

It is a super-2 number, since 2×2034070311312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 660625389 + ... + 660628467.

Almost surely, 2^{2034070311312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034070311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208336528320).

2034070311312 is an abundant number, since it is smaller than the sum of its proper divisors (4382602745328).

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

2034070311312 is a wasteful number, since it uses less digits than its factorization.

2034070311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 2034070311312 in words is "two trillion, thirty-four billion, seventy million, three hundred eleven thousand, three hundred twelve".