2585688825040 has 40 divisors (see below), whose sum is σ = 6018034908168. Its totient is φ = 1033190215680.

The previous prime is 2585688825029. The next prime is 2585688825053. The reversal of 2585688825040 is 405288865852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 541772546704 + 2043916278336 = 736052^2 + 1429656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2585688825040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16881321 + ... + 17033800.

Almost surely, 2^{2585688825040} is an apocalyptic number.

2585688825040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585688825040 is an abundant number, since it is smaller than the sum of its proper divisors (3432346083128).

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

2585688825040 is a wasteful number, since it uses less digits than its factorization.

2585688825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33916087 (or 33916081 counting only the distinct ones).

The product of its (nonzero) digits is 49152000, while the sum is 61.

The spelling of 2585688825040 in words is "two trillion, five hundred eighty-five billion, six hundred eighty-eight million, eight hundred twenty-five thousand, forty".