2080070506800 has 2400 divisors, whose sum is σ = 9219836767680. Its totient is φ = 442191052800.

The previous prime is 2080070506799. The next prime is 2080070506819. The reversal of 2080070506800 is 86050700802.

2080070506800 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 0 + 70 + 506 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15182996332 + ... + 15182996468.

Almost surely, 2^{2080070506800} is an apocalyptic number.

2080070506800 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 2080070506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609918383840).

2080070506800 is an abundant number, since it is smaller than the sum of its proper divisors (7139766260880).

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

2080070506800 is a wasteful number, since it uses less digits than its factorization.

2080070506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2080070506800 in words is "two trillion, eighty billion, seventy million, five hundred six thousand, eight hundred".