2653417046016 has 1020 divisors, whose sum is σ = 9264158048376. Its totient is φ = 756767784960.

The previous prime is 2653417046011. The next prime is 2653417046023. The reversal of 2653417046016 is 6106407143562.

2653417046016 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 4 + 170 + 460 + 16 = 666.

It is a super-2 number, since 2×2653417046016² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2653417046011) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 156083355640 + ... + 156083355656.

Almost surely, 2^{2653417046016} 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 2653417046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632079024188).

2653417046016 is an abundant number, since it is smaller than the sum of its proper divisors (6610741002360).

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

2653417046016 is an frugal number, since it uses more digits than its factorization.

2653417046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2653417046016 in words is "two trillion, six hundred fifty-three billion, four hundred seventeen million, forty-six thousand, sixteen".