2813573591640 has 1920 divisors, whose sum is σ = 12098534215680. Its totient is φ = 573607526400.

The previous prime is 2813573591627. The next prime is 2813573591641. The reversal of 2813573591640 is 461953753182.

It is a happy number.

2813573591640 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 5 + 7 + 3 + 591 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813573591641) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12394597207 + ... + 12394597433.

It is an arithmetic number, because the mean of its divisors is an integer number (6301319904).

It is a 1-persistent number, because it is pandigital, but 2⋅2813573591640 = 5627147183280 is not.

Almost surely, 2^{2813573591640} is an apocalyptic number.

2813573591640 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 2813573591640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049267107840).

2813573591640 is an abundant number, since it is smaller than the sum of its proper divisors (9284960624040).

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

2813573591640 is a wasteful number, since it uses less digits than its factorization.

2813573591640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2813573591640 in words is "two trillion, eight hundred thirteen billion, five hundred seventy-three million, five hundred ninety-one thousand, six hundred forty".