2892873984 has 576 divisors, whose sum is σ = 10680864768. Its totient is φ = 670924800.

The previous prime is 2892873979. The next prime is 2892874001. The reversal of 2892873984 is 4893782982.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40744669 + ... + 40744739.

It is an arithmetic number, because the mean of its divisors is an integer number (18543168).

Almost surely, 2^2892873984 is an apocalyptic number.

2892873984 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 2892873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340432384).

2892873984 is an abundant number, since it is smaller than the sum of its proper divisors (7787990784).

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

2892873984 is a wasteful number, since it uses less digits than its factorization.

2892873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 2892873984 is about 53785.4439788313. The cubic root of 2892873984 is about 1424.8741424086.

The spelling of 2892873984 in words is "two billion, eight hundred ninety-two million, eight hundred seventy-three thousand, nine hundred eighty-four".