2612892830016 has 448 divisors, whose sum is σ = 8502356172800. Its totient is φ = 691618093056.

The previous prime is 2612892829993. The next prime is 2612892830017. The reversal of 2612892830016 is 6100382982162.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2612892830016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612892830017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237811275 + ... + 237822261.

It is an arithmetic number, because the mean of its divisors is an integer number (18978473600).

Almost surely, 2^{2612892830016} 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 2612892830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251178086400).

2612892830016 is an abundant number, since it is smaller than the sum of its proper divisors (5889463342784).

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

2612892830016 is a wasteful number, since it uses less digits than its factorization.

2612892830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 2612892830016 in words is "two trillion, six hundred twelve billion, eight hundred ninety-two million, eight hundred thirty thousand, sixteen".