2889276480 has 560 divisors, whose sum is σ = 11152753920. Its totient is φ = 707346432.

The previous prime is 2889276469. The next prime is 2889276487. The reversal of 2889276480 is 846729882.

2889276480 is a `hidden beast` number, since 2 + 8 + 8 + 92 + 76 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2889276487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34810519 + ... + 34810601.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^2889276480 is an apocalyptic number.

2889276480 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 2889276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576376960).

2889276480 is an abundant number, since it is smaller than the sum of its proper divisors (8263477440).

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

2889276480 is a wasteful number, since it uses less digits than its factorization.

2889276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2889276480 is about 53751.9904747722. The cubic root of 2889276480 is about 1424.2832517379.

The spelling of 2889276480 in words is "two billion, eight hundred eighty-nine million, two hundred seventy-six thousand, four hundred eighty".