2889149472000 has 1584 divisors, whose sum is σ = 11861951250240. Its totient is φ = 695361024000.

The previous prime is 2889149471983. The next prime is 2889149472019. The reversal of 2889149472000 is 2749419882.

2889149472000 is a `hidden beast` number, since 2 + 8 + 89 + 1 + 494 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 20785247931 + ... + 20785248069.

Almost surely, 2^{2889149472000} is an apocalyptic number.

2889149472000 is a gapful number since it is divisible by the number (20) 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 2889149472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930975625120).

2889149472000 is an abundant number, since it is smaller than the sum of its proper divisors (8972801778240).

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

2889149472000 is an frugal number, since it uses more digits than its factorization.

2889149472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2889149472000 in words is "two trillion, eight hundred eighty-nine billion, one hundred forty-nine million, four hundred seventy-two thousand".