2670525325440 has 384 divisors, whose sum is σ = 10879011486720. Its totient is φ = 590715002880.

The previous prime is 2670525325427. The next prime is 2670525325441. The reversal of 2670525325440 is 445235250762.

2670525325440 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 52 + 53 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2670525325440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2670525325441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181642 + ... + 2318198.

It is an arithmetic number, because the mean of its divisors is an integer number (28330759080).

Almost surely, 2^{2670525325440} is an apocalyptic number.

2670525325440 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 2670525325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439505743360).

2670525325440 is an abundant number, since it is smaller than the sum of its proper divisors (8208486161280).

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

2670525325440 is a wasteful number, since it uses less digits than its factorization.

2670525325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136620 (or 2136605 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 2670525325440 in words is "two trillion, six hundred seventy billion, five hundred twenty-five million, three hundred twenty-five thousand, four hundred forty".