2881738464 has 192 divisors, whose sum is σ = 8550178560. Its totient is φ = 842240000.

The previous prime is 2881738427. The next prime is 2881738469. The reversal of 2881738464 is 4648371882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881738469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4372567 + ... + 4373225.

It is an arithmetic number, because the mean of its divisors is an integer number (44532180).

Almost surely, 2^2881738464 is an apocalyptic number.

2881738464 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 2881738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275089280).

2881738464 is an abundant number, since it is smaller than the sum of its proper divisors (5668440096).

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

2881738464 is a wasteful number, since it uses less digits than its factorization.

2881738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 2881738464 is about 53681.8261984445. The cubic root of 2881738464 is about 1423.0435387953.

The spelling of 2881738464 in words is "two billion, eight hundred eighty-one million, seven hundred thirty-eight thousand, four hundred sixty-four".