2020959347400 has 960 divisors, whose sum is σ = 8318066359680. Its totient is φ = 445152153600.

The previous prime is 2020959347291. The next prime is 2020959347419. The reversal of 2020959347400 is 47439590202.

2020959347400 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 95 + 93 + 474 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 385897582 + ... + 385902818.

It is an arithmetic number, because the mean of its divisors is an integer number (8664652458).

Almost surely, 2^{2020959347400} is an apocalyptic number.

2020959347400 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 2020959347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159033179840).

2020959347400 is an abundant number, since it is smaller than the sum of its proper divisors (6297107012280).

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

2020959347400 is a wasteful number, since it uses less digits than its factorization.

2020959347400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2020959347400 in words is "two trillion, twenty billion, nine hundred fifty-nine million, three hundred forty-seven thousand, four hundred".