2505161945088 has 1248 divisors, whose sum is σ = 8660063053824. Its totient is φ = 722608128000.

The previous prime is 2505161945017. The next prime is 2505161945093. The reversal of 2505161945088 is 8805491615052.

2505161945088 is a `hidden beast` number, since 2 + 5 + 0 + 51 + 61 + 9 + 450 + 88 = 666.

It is a super-2 number, since 2×2505161945088² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 41068228578 + ... + 41068228638.

It is an arithmetic number, because the mean of its divisors is an integer number (6939153088).

Almost surely, 2^{2505161945088} 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 2505161945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330031526912).

2505161945088 is an abundant number, since it is smaller than the sum of its proper divisors (6154901108736).

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

2505161945088 is an frugal number, since it uses more digits than its factorization.

2505161945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 2505161945088 in words is "two trillion, five hundred five billion, one hundred sixty-one million, nine hundred forty-five thousand, eighty-eight".