2168386920 has 192 divisors, whose sum is σ = 8071539840. Its totient is φ = 494553600.

The previous prime is 2168386903. The next prime is 2168386937. The reversal of 2168386920 is 296838612.

2168386920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2168386903) and next prime (2168386937).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043190 + ... + 2044250.

It is an arithmetic number, because the mean of its divisors is an integer number (42039270).

Almost surely, 2^2168386920 is an apocalyptic number.

2168386920 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 2168386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035769920).

2168386920 is an abundant number, since it is smaller than the sum of its proper divisors (5903152920).

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

2168386920 is a wasteful number, since it uses less digits than its factorization.

2168386920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2168386920 is about 46565.9416311965. The cubic root of 2168386920 is about 1294.3317154367.

The spelling of 2168386920 in words is "two billion, one hundred sixty-eight million, three hundred eighty-six thousand, nine hundred twenty".