2070123505920 has 720 divisors, whose sum is σ = 7556005416960. Its totient is φ = 541036412928.

The previous prime is 2070123505909. The next prime is 2070123505921. The reversal of 2070123505920 is 295053210702.

2070123505920 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 12 + 3 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2070123505920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2070123505921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1618547841 + ... + 1618549119.

It is an arithmetic number, because the mean of its divisors is an integer number (10494451968).

Almost surely, 2^{2070123505920} is an apocalyptic number.

2070123505920 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 2070123505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778002708480).

2070123505920 is an abundant number, since it is smaller than the sum of its proper divisors (5485881911040).

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

2070123505920 is a wasteful number, since it uses less digits than its factorization.

2070123505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 2070123505920 in words is "two trillion, seventy billion, one hundred twenty-three million, five hundred five thousand, nine hundred twenty".