2030526507240 has 768 divisors, whose sum is σ = 8914247147520. Its totient is φ = 387869368320.

The previous prime is 2030526507239. The next prime is 2030526507259. The reversal of 2030526507240 is 427056250302.

2030526507240 is a `hidden beast` number, since 20 + 3 + 0 + 526 + 5 + 0 + 72 + 40 = 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 = 2030526507195 and 2030526507204.

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, 20213217 + ... + 20313423.

It is an arithmetic number, because the mean of its divisors is an integer number (11607092640).

Almost surely, 2^{2030526507240} is an apocalyptic number.

2030526507240 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 2030526507240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457123573760).

2030526507240 is an abundant number, since it is smaller than the sum of its proper divisors (6883720640280).

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

2030526507240 is a wasteful number, since it uses less digits than its factorization.

2030526507240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100302 (or 100295 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 2030526507240 in words is "two trillion, thirty billion, five hundred twenty-six million, five hundred seven thousand, two hundred forty".