2626638681420 has 144 divisors (see below), whose sum is σ = 8660544066720. Its totient is φ = 640514562048.

The previous prime is 2626638681409. The next prime is 2626638681431. The reversal of 2626638681420 is 241868366262.

It is a happy number.

2626638681420 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 63 + 86 + 81 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (2626638681409) and next prime (2626638681431).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994925 + ... + 5495684.

It is an arithmetic number, because the mean of its divisors is an integer number (60142667130).

Almost surely, 2^{2626638681420} is an apocalyptic number.

2626638681420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2626638681420 is an abundant number, since it is smaller than the sum of its proper divisors (6033905385300).

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

2626638681420 is a wasteful number, since it uses less digits than its factorization.

2626638681420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490744 (or 10490739 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2626638681420 in words is "two trillion, six hundred twenty-six billion, six hundred thirty-eight million, six hundred eighty-one thousand, four hundred twenty".