2068416000 has 960 divisors, whose sum is σ = 9294405120. Its totient is φ = 447897600.

The previous prime is 2068415989. The next prime is 2068416029. The reversal of 2068416000 is 6148602.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863991 + ... + 108864009.

It is an arithmetic number, because the mean of its divisors is an integer number (9681672).

Almost surely, 2^2068416000 is an apocalyptic number.

2068416000 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 2068416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647202560).

2068416000 is an abundant number, since it is smaller than the sum of its proper divisors (7225989120).

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

2068416000 is an frugal number, since it uses more digits than its factorization.

2068416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2068416000 is about 45479.8416883788. The cubic root of 2068416000 is about 1274.1267376692.

The spelling of 2068416000 in words is "two billion, sixty-eight million, four hundred sixteen thousand".