2693532989952 has 960 divisors, whose sum is σ = 9949711749120. Its totient is φ = 682885251072.

The previous prime is 2693532989947. The next prime is 2693532989981. The reversal of 2693532989952 is 2599892353962.

2693532989952 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 532 + 9 + 89 + 9 + 5 + 2 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 2740114453 + ... + 2740115435.

It is an arithmetic number, because the mean of its divisors is an integer number (10364283072).

Almost surely, 2^{2693532989952} 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 2693532989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974855874560).

2693532989952 is an abundant number, since it is smaller than the sum of its proper divisors (7256178759168).

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

2693532989952 is a wasteful number, since it uses less digits than its factorization.

2693532989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1294 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 2693532989952 in words is "two trillion, six hundred ninety-three billion, five hundred thirty-two million, nine hundred eighty-nine thousand, nine hundred fifty-two".