2029519245312 has 1040 divisors, whose sum is σ = 6916020131328. Its totient is φ = 588597166080.

The previous prime is 2029519245263. The next prime is 2029519245331. The reversal of 2029519245312 is 2135429159202.

2029519245312 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 5 + 192 + 453 + 1 + 2 = 666.

It is a super-3 number, since 3×2029519245312³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5749346128 + ... + 5749346480.

Almost surely, 2^{2029519245312} 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 2029519245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458010065664).

2029519245312 is an abundant number, since it is smaller than the sum of its proper divisors (4886500886016).

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

2029519245312 is a wasteful number, since it uses less digits than its factorization.

2029519245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2029519245312 in words is "two trillion, twenty-nine billion, five hundred nineteen million, two hundred forty-five thousand, three hundred twelve".