2611970468352 has 1120 divisors, whose sum is σ = 9313793736192. Its totient is φ = 715973271552.

The previous prime is 2611970468333. The next prime is 2611970468353. The reversal of 2611970468352 is 2538640791162.

It is a happy number.

2611970468352 is a `hidden beast` number, since 2 + 61 + 1 + 9 + 70 + 468 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2611970468353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7527292243 + ... + 7527292589.

It is a 1-persistent number, because it is pandigital, but 2⋅2611970468352 = 5223940936704 is not.

Almost surely, 2^{2611970468352} 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 2611970468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656896868096).

2611970468352 is an abundant number, since it is smaller than the sum of its proper divisors (6701823267840).

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

2611970468352 is an frugal number, since it uses more digits than its factorization.

2611970468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2611970468352 in words is "two trillion, six hundred eleven billion, nine hundred seventy million, four hundred sixty-eight thousand, three hundred fifty-two".