2693311036416 has 1584 divisors, whose sum is σ = 10921542707712. Its totient is φ = 645091983360.

The previous prime is 2693311036393. The next prime is 2693311036421. The reversal of 2693311036416 is 6146301133962.

It is a happy number.

2693311036416 is a `hidden beast` number, since 2 + 6 + 93 + 3 + 110 + 36 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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, 2739888661 + ... + 2739889643.

Almost surely, 2^{2693311036416} is an apocalyptic number.

2693311036416 is a gapful number since it is divisible by the number (26) 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 2693311036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460771353856).

2693311036416 is an abundant number, since it is smaller than the sum of its proper divisors (8228231671296).

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

2693311036416 is a wasteful number, since it uses less digits than its factorization.

2693311036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2693311036416 in words is "two trillion, six hundred ninety-three billion, three hundred eleven million, thirty-six thousand, four hundred sixteen".