2888729466624 has 324 divisors, whose sum is σ = 8674871132928. Its totient is φ = 924420833280.

The previous prime is 2888729466607. The next prime is 2888729466643. The reversal of 2888729466624 is 4266649278882.

It is a super-3 number, since 3×2888729466624³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281191152 + ... + 281201424.

Almost surely, 2^{2888729466624} is an apocalyptic number.

2888729466624 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 2888729466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337435566464).

2888729466624 is an abundant number, since it is smaller than the sum of its proper divisors (5786141666304).

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

2888729466624 is a wasteful number, since it uses less digits than its factorization.

2888729466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484 (or 10436 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 2888729466624 in words is "two trillion, eight hundred eighty-eight billion, seven hundred twenty-nine million, four hundred sixty-six thousand, six hundred twenty-four".