2685564029940 has 864 divisors, whose sum is σ = 9216700359552. Its totient is φ = 578920089600.

The previous prime is 2685564029933. The next prime is 2685564029969. The reversal of 2685564029940 is 499204655862.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8471810662 + ... + 8471810978.

It is an arithmetic number, because the mean of its divisors is an integer number (10667477268).

Almost surely, 2^{2685564029940} is an apocalyptic number.

2685564029940 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 2685564029940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608350179776).

2685564029940 is an abundant number, since it is smaller than the sum of its proper divisors (6531136329612).

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

2685564029940 is a wasteful number, since it uses less digits than its factorization.

2685564029940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 2685564029940 in words is "two trillion, six hundred eighty-five billion, five hundred sixty-four million, twenty-nine thousand, nine hundred forty".