2854761984 has 120 divisors (see below), whose sum is σ = 8300171880. Its totient is φ = 944529408.

The previous prime is 2854761983. The next prime is 2854761991. The reversal of 2854761984 is 4891674582.

It is a happy number.

2854761984 is a `hidden beast` number, since 2 + 8 + 547 + 6 + 1 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2854761984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854761983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638284 + ... + 642740.

It is an arithmetic number, because the mean of its divisors is an integer number (69168099).

Almost surely, 2^2854761984 is an apocalyptic number.

2854761984 is a gapful number since it is divisible by the number (24) 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 2854761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150085940).

2854761984 is an abundant number, since it is smaller than the sum of its proper divisors (5445409896).

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

2854761984 is a wasteful number, since it uses less digits than its factorization.

2854761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4601 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2854761984 is about 53429.9727119526. The cubic root of 2854761984 is about 1418.5891534963.

The spelling of 2854761984 in words is "two billion, eight hundred fifty-four million, seven hundred sixty-one thousand, nine hundred eighty-four".