2620649299968 has 448 divisors, whose sum is σ = 9062666680320. Its totient is φ = 732805595136.

The previous prime is 2620649299903. The next prime is 2620649299981. The reversal of 2620649299968 is 8699929460262.

2620649299968 is a `hidden beast` number, since 2 + 6 + 206 + 49 + 299 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2620649299896 and 2620649299905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72751530 + ... + 72787542.

Almost surely, 2^{2620649299968} is an apocalyptic number.

2620649299968 is a gapful number since it is divisible by the number (28) 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 2620649299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531333340160).

2620649299968 is an abundant number, since it is smaller than the sum of its proper divisors (6442017380352).

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

2620649299968 is an equidigital number, since it uses as much as digits as its factorization.

2620649299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102 (or 36072 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 2620649299968 in words is "two trillion, six hundred twenty billion, six hundred forty-nine million, two hundred ninety-nine thousand, nine hundred sixty-eight".