2589972480 has 288 divisors, whose sum is σ = 9084020400. Its totient is φ = 682426368.

The previous prime is 2589972467. The next prime is 2589972481. The reversal of 2589972480 is 842799852.

2589972480 is a `hidden beast` number, since 2 + 5 + 8 + 99 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589972481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14469031 + ... + 14469209.

Almost surely, 2^2589972480 is an apocalyptic number.

2589972480 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 2589972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542010200).

2589972480 is an abundant number, since it is smaller than the sum of its proper divisors (6494047920).

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

2589972480 is a wasteful number, since it uses less digits than its factorization.

2589972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2589972480 is about 50891.7722230225. The cubic root of 2589972480 is about 1373.2988292669.

The spelling of 2589972480 in words is "two billion, five hundred eighty-nine million, nine hundred seventy-two thousand, four hundred eighty".