2106772920 has 192 divisors, whose sum is σ = 7858019520. Its totient is φ = 479526912.

The previous prime is 2106772903. The next prime is 2106772931. The reversal of 2106772920 is 292776012.

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 47 ways as a sum of consecutive naturals, for example, 646014 + ... + 649266.

It is an arithmetic number, because the mean of its divisors is an integer number (40927185).

Almost surely, 2^2106772920 is an apocalyptic number.

2106772920 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 2106772920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929009760).

2106772920 is an abundant number, since it is smaller than the sum of its proper divisors (5751246600).

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

2106772920 is a wasteful number, since it uses less digits than its factorization.

2106772920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2106772920 is about 45899.5960766541. The cubic root of 2106772920 is about 1281.9543955552.

The spelling of 2106772920 in words is "two billion, one hundred six million, seven hundred seventy-two thousand, nine hundred twenty".