2627983114240 has 240 divisors, whose sum is σ = 6957847013040. Its totient is φ = 944892805120.

The previous prime is 2627983114213. The next prime is 2627983114241. The reversal of 2627983114240 is 424113897262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627983114241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29527900116 + ... + 29527900204.

It is an arithmetic number, because the mean of its divisors is an integer number (28991029221).

Almost surely, 2^{2627983114240} is an apocalyptic number.

2627983114240 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 2627983114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478923506520).

2627983114240 is an abundant number, since it is smaller than the sum of its proper divisors (4329863898800).

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

2627983114240 is an frugal number, since it uses more digits than its factorization.

2627983114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 2627983114240 in words is "two trillion, six hundred twenty-seven billion, nine hundred eighty-three million, one hundred fourteen thousand, two hundred forty".