2874769920 has 640 divisors, whose sum is σ = 11784960000. Its totient is φ = 656916480.

The previous prime is 2874769883. The next prime is 2874769927. The reversal of 2874769920 is 299674782.

2874769920 is a `hidden beast` number, since 2 + 87 + 476 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2874769927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14445981 + ... + 14446179.

It is an arithmetic number, because the mean of its divisors is an integer number (18414000).

Almost surely, 2^2874769920 is an apocalyptic number.

2874769920 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 2874769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480000).

2874769920 is an abundant number, since it is smaller than the sum of its proper divisors (8910190080).

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

2874769920 is a wasteful number, since it uses less digits than its factorization.

2874769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2874769920 is about 53616.8809238285. The cubic root of 2874769920 is about 1421.8955574985.

The spelling of 2874769920 in words is "two billion, eight hundred seventy-four million, seven hundred sixty-nine thousand, nine hundred twenty".