2809517966640 has 480 divisors, whose sum is σ = 12003571008000. Its totient is φ = 583795376640.

The previous prime is 2809517966627. The next prime is 2809517966641. The reversal of 2809517966640 is 466697159082.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2809517966641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199451 + ... + 3233669.

It is an arithmetic number, because the mean of its divisors is an integer number (25007439600).

Almost surely, 2^{2809517966640} is an apocalyptic number.

2809517966640 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 2809517966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001785504000).

2809517966640 is an abundant number, since it is smaller than the sum of its proper divisors (9194053041360).

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

2809517966640 is a wasteful number, since it uses less digits than its factorization.

2809517966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034270 (or 1034247 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2809517966640 in words is "two trillion, eight hundred nine billion, five hundred seventeen million, nine hundred sixty-six thousand, six hundred forty".