2672501029632 has 504 divisors, whose sum is σ = 9621966152960. Its totient is φ = 723377018880.

The previous prime is 2672501029621. The next prime is 2672501029633. The reversal of 2672501029632 is 2369201052762.

2672501029632 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 5 + 0 + 1 + 0 + 2 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2672501029633) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24767157 + ... + 24874827.

Almost surely, 2^{2672501029632} 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 2672501029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810983076480).

2672501029632 is an abundant number, since it is smaller than the sum of its proper divisors (6949465123328).

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

2672501029632 is an equidigital number, since it uses as much as digits as its factorization.

2672501029632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107731 (or 107702 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2672501029632 in words is "two trillion, six hundred seventy-two billion, five hundred one million, twenty-nine thousand, six hundred thirty-two".