2589627629824 has 81 divisors (see below), whose sum is σ = 5294411250303. Its totient is φ = 1264161163776.

The previous prime is 2589627629821. The next prime is 2589627629837. The reversal of 2589627629824 is 4289267269852.

The square root of 2589627629824 is 1609232.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2589627629824² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2589627629821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1107150447 + ... + 1107152785.

Almost surely, 2^{2589627629824} is an apocalyptic number.

2589627629824 is the 1609232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589627629824

2589627629824 is an abundant number, since it is smaller than the sum of its proper divisors (2704783620479).

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

2589627629824 is an frugal number, since it uses more digits than its factorization.

2589627629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 2384 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 2589627629824 in words is "two trillion, five hundred eighty-nine billion, six hundred twenty-seven million, six hundred twenty-nine thousand, eight hundred twenty-four".