2888966967940 has 12 divisors (see below), whose sum is σ = 6066830632716. Its totient is φ = 1155586787168.

The previous prime is 2888966967907. The next prime is 2888966967973. The reversal of 2888966967940 is 497696698882.

It is an interprime number because it is at equal distance from previous prime (2888966967907) and next prime (2888966967973).

It can be written as a sum of positive squares in 2 ways, for example, as 480834070084 + 2408132897856 = 693422^2 + 1551816^2 .

It is a super-3 number, since 3×2888966967940³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 72224174179 + ... + 72224174218.

It is an arithmetic number, because the mean of its divisors is an integer number (505569219393).

Almost surely, 2^{2888966967940} is an apocalyptic number.

2888966967940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2888966967940 is an abundant number, since it is smaller than the sum of its proper divisors (3177863664776).

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

2888966967940 is a wasteful number, since it uses less digits than its factorization.

2888966967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144448348406 (or 144448348404 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 82.

The spelling of 2888966967940 in words is "two trillion, eight hundred eighty-eight billion, nine hundred sixty-six million, nine hundred sixty-seven thousand, nine hundred forty".