2621688496128 has 360 divisors, whose sum is σ = 8171936712576. Its totient is φ = 805109760000.

The previous prime is 2621688496127. The next prime is 2621688496237. The reversal of 2621688496128 is 8216948861262.

2621688496128 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 6 + 8 + 8 + 4 + 9 + 612 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621688496123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343765553 + ... + 1343767503.

Almost surely, 2^{2621688496128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2621688496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085968356288).

2621688496128 is an abundant number, since it is smaller than the sum of its proper divisors (5550248216448).

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

2621688496128 is a wasteful number, since it uses less digits than its factorization.

2621688496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2670 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 2621688496128 in words is "two trillion, six hundred twenty-one billion, six hundred eighty-eight million, four hundred ninety-six thousand, one hundred twenty-eight".