2627623488 has 112 divisors (see below), whose sum is σ = 8201867264. Its totient is φ = 726520320.

The previous prime is 2627623459. The next prime is 2627623499. The reversal of 2627623488 is 8843267262.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2627623488² = 13808810389378572288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10131 + ... + 73197.

Almost surely, 2^2627623488 is an apocalyptic number.

2627623488 is a gapful number since it is divisible by the number (28) 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 2627623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100933632).

2627623488 is an abundant number, since it is smaller than the sum of its proper divisors (5574243776).

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

2627623488 is a wasteful number, since it uses less digits than its factorization.

2627623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63120 (or 63110 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 2627623488 is about 51260.3500573299. The cubic root of 2627623488 is about 1379.9214910178.

The spelling of 2627623488 in words is "two billion, six hundred twenty-seven million, six hundred twenty-three thousand, four hundred eighty-eight".