2627627940 has 216 divisors, whose sum is σ = 9592422840. Its totient is φ = 579833856.

The previous prime is 2627627929. The next prime is 2627627941. The reversal of 2627627940 is 497267262.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 2535928164 = 9576^2 + 50358^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2627627941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250644 + ... + 260916.

It is an arithmetic number, because the mean of its divisors is an integer number (44409365).

Almost surely, 2^2627627940 is an apocalyptic number.

2627627940 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 2627627940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796211420).

2627627940 is an abundant number, since it is smaller than the sum of its proper divisors (6964794900).

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

2627627940 is a wasteful number, since it uses less digits than its factorization.

2627627940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2627627940 is about 51260.3934826880. The cubic root of 2627627940 is about 1379.9222703541.

The spelling of 2627627940 in words is "two billion, six hundred twenty-seven million, six hundred twenty-seven thousand, nine hundred forty".