2668071420 has 192 divisors, whose sum is σ = 9792921600. Its totient is φ = 590146560.

The previous prime is 2668071407. The next prime is 2668071493. The reversal of 2668071420 is 241708662.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105796 + ... + 128564.

It is an arithmetic number, because the mean of its divisors is an integer number (51004800).

Almost surely, 2^2668071420 is an apocalyptic number.

2668071420 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 2668071420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896460800).

2668071420 is an abundant number, since it is smaller than the sum of its proper divisors (7124850180).

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

2668071420 is a wasteful number, since it uses less digits than its factorization.

2668071420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22817 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2668071420 is about 51653.3776243142. The cubic root of 2668071420 is about 1386.9660063469.

The spelling of 2668071420 in words is "two billion, six hundred sixty-eight million, seventy-one thousand, four hundred twenty".