2620413611640 has 576 divisors, whose sum is σ = 9534506042880. Its totient is φ = 623542233600.

The previous prime is 2620413611527. The next prime is 2620413611681. The reversal of 2620413611640 is 461163140262.

2620413611640 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 4 + 1 + 3 + 6 + 1 + 1 + 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 = 2620413611595 and 2620413611604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 907658277 + ... + 907661163.

It is an arithmetic number, because the mean of its divisors is an integer number (16552961880).

Almost surely, 2^{2620413611640} is an apocalyptic number.

2620413611640 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 2620413611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767253021440).

2620413611640 is an abundant number, since it is smaller than the sum of its proper divisors (6914092431240).

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

2620413611640 is a wasteful number, since it uses less digits than its factorization.

2620413611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2620413611640 in words is "two trillion, six hundred twenty billion, four hundred thirteen million, six hundred eleven thousand, six hundred forty".