2675319575040 has 480 divisors, whose sum is σ = 10642349203200. Its totient is φ = 608421445632.

The previous prime is 2675319575023. The next prime is 2675319575059. The reversal of 2675319575040 is 405759135762.

It is a happy number.

2675319575040 is a `hidden beast` number, since 2 + 6 + 7 + 53 + 19 + 575 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32053042 + ... + 32136398.

It is an arithmetic number, because the mean of its divisors is an integer number (22171560840).

Almost surely, 2^{2675319575040} is an apocalyptic number.

2675319575040 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 2675319575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321174601600).

2675319575040 is an abundant number, since it is smaller than the sum of its proper divisors (7967029628160).

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

2675319575040 is a wasteful number, since it uses less digits than its factorization.

2675319575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83592 (or 83573 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 2675319575040 in words is "two trillion, six hundred seventy-five billion, three hundred nineteen million, five hundred seventy-five thousand, forty".