2813720604480 has 448 divisors, whose sum is σ = 10188610560000. Its totient is φ = 730649880576.

The previous prime is 2813720604473. The next prime is 2813720604481. The reversal of 2813720604480 is 844060273182.

It is a happy number.

2813720604480 is a `hidden beast` number, since 2 + 8 + 1 + 37 + 2 + 0 + 604 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813720604481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80792511 + ... + 80827329.

Almost surely, 2^{2813720604480} is an apocalyptic number.

2813720604480 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 2813720604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094305280000).

2813720604480 is an abundant number, since it is smaller than the sum of its proper divisors (7374889955520).

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

2813720604480 is a wasteful number, since it uses less digits than its factorization.

2813720604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35091 (or 35075 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2813720604480 in words is "two trillion, eight hundred thirteen billion, seven hundred twenty million, six hundred four thousand, four hundred eighty".