2034105937920 has 1248 divisors, whose sum is σ = 8643759163200. Its totient is φ = 452149641216.

The previous prime is 2034105937889. The next prime is 2034105937951. The reversal of 2034105937920 is 297395014302.

2034105937920 is a `hidden beast` number, since 2 + 0 + 34 + 1 + 0 + 593 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2034105937889) and next prime (2034105937951).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002515466 + ... + 1002517494.

Almost surely, 2^{2034105937920} is an apocalyptic number.

2034105937920 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 2034105937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321879581600).

2034105937920 is an abundant number, since it is smaller than the sum of its proper divisors (6609653225280).

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

2034105937920 is a wasteful number, since it uses less digits than its factorization.

2034105937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2034105937920 in words is "two trillion, thirty-four billion, one hundred five million, nine hundred thirty-seven thousand, nine hundred twenty".