2761741920 has 288 divisors, whose sum is σ = 10471356000. Its totient is φ = 609337344.

The previous prime is 2761741909. The next prime is 2761741921. The reversal of 2761741920 is 291471672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761741921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680056 + ... + 684104.

It is an arithmetic number, because the mean of its divisors is an integer number (36358875).

Almost surely, 2^2761741920 is an apocalyptic number.

2761741920 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 2761741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235678000).

2761741920 is an abundant number, since it is smaller than the sum of its proper divisors (7709614080).

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

2761741920 is a wasteful number, since it uses less digits than its factorization.

2761741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2761741920 is about 52552.2779715589. The cubic root of 2761741920 is about 1403.0108535208.

The spelling of 2761741920 in words is "two billion, seven hundred sixty-one million, seven hundred forty-one thousand, nine hundred twenty".