2667172229632 has 320 divisors, whose sum is σ = 6147251979264. Its totient is φ = 1148776611840.

The previous prime is 2667172229509. The next prime is 2667172229639. The reversal of 2667172229632 is 2369222717662.

It is a super-2 number, since 2×2667172229632² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667172229639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451830393 + ... + 451836295.

Almost surely, 2^{2667172229632} 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 2667172229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073625989632).

2667172229632 is an abundant number, since it is smaller than the sum of its proper divisors (3480079749632).

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

2667172229632 is a wasteful number, since it uses less digits than its factorization.

2667172229632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6043 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

It can be divided in two parts, 2667172 and 229632, that added together give a square (2896804 = 1702²).

The spelling of 2667172229632 in words is "two trillion, six hundred sixty-seven billion, one hundred seventy-two million, two hundred twenty-nine thousand, six hundred thirty-two".