2627993088 has 360 divisors, whose sum is σ = 8987357808. Its totient is φ = 736985088.

The previous prime is 2627993057. The next prime is 2627993089. The reversal of 2627993088 is 8803997262.

It is a happy number.

2627993088 is a `hidden beast` number, since 2 + 627 + 9 + 9 + 3 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627993089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23256520 + ... + 23256632.

Almost surely, 2^2627993088 is an apocalyptic number.

2627993088 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 2627993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493678904).

2627993088 is an abundant number, since it is smaller than the sum of its proper divisors (6359364720).

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

2627993088 is a wasteful number, since it uses less digits than its factorization.

2627993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2627993088 is about 51263.9550561601. The cubic root of 2627993088 is about 1379.9861876374.

The spelling of 2627993088 in words is "two billion, six hundred twenty-seven million, nine hundred ninety-three thousand, eighty-eight".