2010123915840 has 336 divisors, whose sum is σ = 7174651428672. Its totient is φ = 535690008576.

The previous prime is 2010123915797. The next prime is 2010123915857. The reversal of 2010123915840 is 485193210102.

2010123915840 is a `hidden beast` number, since 20 + 10 + 12 + 39 + 1 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010123915795 and 2010123915804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135839322 + ... + 135854118.

It is an arithmetic number, because the mean of its divisors is an integer number (21353129252).

Almost surely, 2^{2010123915840} is an apocalyptic number.

2010123915840 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 2010123915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587325714336).

2010123915840 is an abundant number, since it is smaller than the sum of its proper divisors (5164527512832).

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

2010123915840 is a wasteful number, since it uses less digits than its factorization.

2010123915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2010123915840 in words is "two trillion, ten billion, one hundred twenty-three million, nine hundred fifteen thousand, eight hundred forty".