2726863920 has 640 divisors, whose sum is σ = 11172142080. Its totient is φ = 603832320.

The previous prime is 2726863913. The next prime is 2726863927. The reversal of 2726863920 is 293686272.

2726863920 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 8 + 639 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2726863913) and next prime (2726863927).

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

It is not an unprimeable number, because it can be changed into a prime (2726863927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17368482 + ... + 17368638.

It is an arithmetic number, because the mean of its divisors is an integer number (17456472).

Almost surely, 2^2726863920 is an apocalyptic number.

2726863920 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 2726863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586071040).

2726863920 is an abundant number, since it is smaller than the sum of its proper divisors (8445278160).

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

2726863920 is a wasteful number, since it uses less digits than its factorization.

2726863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2726863920 is about 52219.3826083764. The cubic root of 2726863920 is about 1397.0796130161.

The spelling of 2726863920 in words is "two billion, seven hundred twenty-six million, eight hundred sixty-three thousand, nine hundred twenty".