2627205701130 has 384 divisors, whose sum is σ = 7517083392000. Its totient is φ = 634248755712.

The previous prime is 2627205701123. The next prime is 2627205701137. The reversal of 2627205701130 is 311075027262.

2627205701130 is a `hidden beast` number, since 2 + 6 + 2 + 72 + 0 + 570 + 1 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2627205701123) and next prime (2627205701137).

It is not an unprimeable number, because it can be changed into a prime (2627205701137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1877916171 + ... + 1877917569.

It is an arithmetic number, because the mean of its divisors is an integer number (19575738000).

Almost surely, 2^{2627205701130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627205701130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758541696000).

2627205701130 is an abundant number, since it is smaller than the sum of its proper divisors (4889877690870).

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

2627205701130 is a wasteful number, since it uses less digits than its factorization.

2627205701130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 2627205701130 in words is "two trillion, six hundred twenty-seven billion, two hundred five million, seven hundred one thousand, one hundred thirty".