2621730212640 has 864 divisors, whose sum is σ = 11344372341120. Its totient is φ = 539656888320.

The previous prime is 2621730212561. The next prime is 2621730212663. The reversal of 2621730212640 is 462120371262.

2621730212640 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 7 + 3 + 0 + 2 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2621730212595 and 2621730212604.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 130495716 + ... + 130515804.

It is an arithmetic number, because the mean of its divisors is an integer number (13130060580).

Almost surely, 2^{2621730212640} is an apocalyptic number.

2621730212640 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 2621730212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672186170560).

2621730212640 is an abundant number, since it is smaller than the sum of its proper divisors (8722642128480).

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

2621730212640 is a wasteful number, since it uses less digits than its factorization.

2621730212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20224 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2621730212640 in words is "two trillion, six hundred twenty-one billion, seven hundred thirty million, two hundred twelve thousand, six hundred forty".