2610801329472 has 896 divisors, whose sum is σ = 9377111040000. Its totient is φ = 695782047744.

The previous prime is 2610801329459. The next prime is 2610801329489. The reversal of 2610801329472 is 2749231080162.

2610801329472 is a `hidden beast` number, since 2 + 610 + 8 + 0 + 1 + 3 + 29 + 4 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5947155429 + ... + 5947155867.

Almost surely, 2^{2610801329472} 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 2610801329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688555520000).

2610801329472 is an abundant number, since it is smaller than the sum of its proper divisors (6766309710528).

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

2610801329472 is a wasteful number, since it uses less digits than its factorization.

2610801329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2610801329472 in words is "two trillion, six hundred ten billion, eight hundred one million, three hundred twenty-nine thousand, four hundred seventy-two".