2680573789440 has 576 divisors, whose sum is σ = 9850130841600. Its totient is φ = 689579827200.

The previous prime is 2680573789429. The next prime is 2680573789469. The reversal of 2680573789440 is 449873750862.

2680573789440 is a `hidden beast` number, since 2 + 6 + 80 + 5 + 7 + 37 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354616381 + ... + 354623939.

It is an arithmetic number, because the mean of its divisors is an integer number (17100921600).

Almost surely, 2^{2680573789440} is an apocalyptic number.

2680573789440 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 2680573789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925065420800).

2680573789440 is an abundant number, since it is smaller than the sum of its proper divisors (7169557052160).

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

2680573789440 is a wasteful number, since it uses less digits than its factorization.

2680573789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2680573789440 in words is "two trillion, six hundred eighty billion, five hundred seventy-three million, seven hundred eighty-nine thousand, four hundred forty".