2068978962960 has 1920 divisors, whose sum is σ = 9507981450240. Its totient is φ = 405711618048.

The previous prime is 2068978962931. The next prime is 2068978962971. The reversal of 2068978962960 is 692698798602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2676557134 + ... + 2676557906.

It is an arithmetic number, because the mean of its divisors is an integer number (4952073672).

Almost surely, 2^{2068978962960} is an apocalyptic number.

2068978962960 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 2068978962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753990725120).

2068978962960 is an abundant number, since it is smaller than the sum of its proper divisors (7439002487280).

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

2068978962960 is a wasteful number, since it uses less digits than its factorization.

2068978962960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 2068978962960 in words is "two trillion, sixty-eight billion, nine hundred seventy-eight million, nine hundred sixty-two thousand, nine hundred sixty".