2889750961152 has 1232 divisors, whose sum is σ = 10144848678912. Its totient is φ = 812665405440.

The previous prime is 2889750961117. The next prime is 2889750961177. The reversal of 2889750961152 is 2511690579882.

2889750961152 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 7 + 5 + 0 + 9 + 611 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2889750961152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17728533423 + ... + 17728533585.

Almost surely, 2^{2889750961152} is an apocalyptic number.

2889750961152 is a gapful number since it is divisible by the number (22) 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 2889750961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072424339456).

2889750961152 is an abundant number, since it is smaller than the sum of its proper divisors (7255097717760).

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

2889750961152 is a wasteful number, since it uses less digits than its factorization.

2889750961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 2889750961152 in words is "two trillion, eight hundred eighty-nine billion, seven hundred fifty million, nine hundred sixty-one thousand, one hundred fifty-two".