2693844951168 has 128 divisors (see below), whose sum is σ = 8180440179840. Its totient is φ = 769416192000.

The previous prime is 2693844951143. The next prime is 2693844951169. The reversal of 2693844951168 is 8611594483962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2693844951099 and 2693844951108.

It is not an unprimeable number, because it can be changed into a prime (2693844951169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8064268 + ... + 8391668.

It is an arithmetic number, because the mean of its divisors is an integer number (63909688905).

Almost surely, 2^{2693844951168} is an apocalyptic number.

2693844951168 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 2693844951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090220089920).

2693844951168 is an abundant number, since it is smaller than the sum of its proper divisors (5486595228672).

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

2693844951168 is a wasteful number, since it uses less digits than its factorization.

2693844951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330486 (or 330474 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

The spelling of 2693844951168 in words is "two trillion, six hundred ninety-three billion, eight hundred forty-four million, nine hundred fifty-one thousand, one hundred sixty-eight".