2927041920 has 768 divisors, whose sum is σ = 12029472000. Its totient is φ = 673505280.

The previous prime is 2927041883. The next prime is 2927041921. The reversal of 2927041920 is 291407292.

2927041920 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2927041921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49610851 + ... + 49610909.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^2927041920 is an apocalyptic number.

2927041920 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 2927041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

2927041920 is an abundant number, since it is smaller than the sum of its proper divisors (9102430080).

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

2927041920 is a wasteful number, since it uses less digits than its factorization.

2927041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2927041920 is about 54102.1433956179. The cubic root of 2927041920 is about 1430.4619629930.

The spelling of 2927041920 in words is "two billion, nine hundred twenty-seven million, forty-one thousand, nine hundred twenty".