2030100145920 has 1728 divisors, whose sum is σ = 8990617918464. Its totient is φ = 410765230080.

The previous prime is 2030100145883. The next prime is 2030100145991. The reversal of 2030100145920 is 295410010302.

2030100145920 is a `hidden beast` number, since 20 + 30 + 10 + 0 + 14 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6928669294 + ... + 6928669586.

It is an arithmetic number, because the mean of its divisors is an integer number (5202903888).

Almost surely, 2^{2030100145920} is an apocalyptic number.

2030100145920 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 2030100145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495308959232).

2030100145920 is an abundant number, since it is smaller than the sum of its proper divisors (6960517772544).

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

2030100145920 is a wasteful number, since it uses less digits than its factorization.

2030100145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 2030100145920 in words is "two trillion, thirty billion, one hundred million, one hundred forty-five thousand, nine hundred twenty".