2070243856800 has 1152 divisors, whose sum is σ = 9373125081600. Its totient is φ = 429990543360.

The previous prime is 2070243856799. The next prime is 2070243856801. The reversal of 2070243856800 is 86583420702.

2070243856800 is a `hidden beast` number, since 20 + 70 + 2 + 438 + 56 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2070243856799) and next prime (2070243856801).

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

It is not an unprimeable number, because it can be changed into a prime (2070243856801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74527714 + ... + 74555486.

It is an arithmetic number, because the mean of its divisors is an integer number (8136393300).

Almost surely, 2^{2070243856800} is an apocalyptic number.

2070243856800 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 2070243856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686562540800).

2070243856800 is an abundant number, since it is smaller than the sum of its proper divisors (7302881224800).

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

2070243856800 is a wasteful number, since it uses less digits than its factorization.

2070243856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855 (or 27836 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2070243856800 in words is "two trillion, seventy billion, two hundred forty-three million, eight hundred fifty-six thousand, eight hundred".