2893749121536 has 640 divisors, whose sum is σ = 10310006784000. Its totient is φ = 699675770880.

The previous prime is 2893749121453. The next prime is 2893749121541. The reversal of 2893749121536 is 6351219473982.

It is a self number, because there is not a number n which added to its sum of digits gives 2893749121536.

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, 82310490 + ... + 82345638.

It is an arithmetic number, because the mean of its divisors is an integer number (16109385600).

Almost surely, 2^{2893749121536} is an apocalyptic number.

2893749121536 is a gapful number since it is divisible by the number (26) 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 2893749121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155003392000).

2893749121536 is an abundant number, since it is smaller than the sum of its proper divisors (7416257662464).

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

2893749121536 is a wasteful number, since it uses less digits than its factorization.

2893749121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35240 (or 35224 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 2893749121536 in words is "two trillion, eight hundred ninety-three billion, seven hundred forty-nine million, one hundred twenty-one thousand, five hundred thirty-six".