2667295287360 has 672 divisors, whose sum is σ = 10457875464192. Its totient is φ = 617656258560.

The previous prime is 2667295287313. The next prime is 2667295287401. The reversal of 2667295287360 is 637825927662.

It is a happy number.

2667295287360 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 295 + 287 + 3 + 60 = 666.

It is a super-2 number, since 2×2667295287360² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 646301617 + ... + 646305743.

Almost surely, 2^{2667295287360} is an apocalyptic number.

2667295287360 is a gapful number since it is divisible by the number (20) 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 2667295287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228937732096).

2667295287360 is an abundant number, since it is smaller than the sum of its proper divisors (7790580176832).

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

2667295287360 is a wasteful number, since it uses less digits than its factorization.

2667295287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2667295287360 in words is "two trillion, six hundred sixty-seven billion, two hundred ninety-five million, two hundred eighty-seven thousand, three hundred sixty".