2881734920064 has 1152 divisors, whose sum is σ = 11478789504000. Its totient is φ = 682028605440.

The previous prime is 2881734920047. The next prime is 2881734920131. The reversal of 2881734920064 is 4600294371882.

2881734920064 is a `hidden beast` number, since 2 + 8 + 81 + 73 + 492 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2881734920064² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 637690797 + ... + 637695315.

It is an arithmetic number, because the mean of its divisors is an integer number (9964227000).

Almost surely, 2^{2881734920064} is an apocalyptic number.

2881734920064 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 2881734920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739394752000).

2881734920064 is an abundant number, since it is smaller than the sum of its proper divisors (8597054583936).

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

2881734920064 is a wasteful number, since it uses less digits than its factorization.

2881734920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2881734920064 in words is "two trillion, eight hundred eighty-one billion, seven hundred thirty-four million, nine hundred twenty thousand, sixty-four".