2559540695040 has 1456 divisors, whose sum is σ = 11087101699200. Its totient is φ = 553816424448.

The previous prime is 2559540695029. The next prime is 2559540695111. The reversal of 2559540695040 is 405960459552.

2559540695040 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 540 + 6 + 9 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1985678716 + ... + 1985680004.

Almost surely, 2^{2559540695040} is an apocalyptic number.

2559540695040 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 2559540695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543550849600).

2559540695040 is an abundant number, since it is smaller than the sum of its proper divisors (8527561004160).

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

2559540695040 is an equidigital number, since it uses as much as digits as its factorization.

2559540695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 2559540695040 in words is "two trillion, five hundred fifty-nine billion, five hundred forty million, six hundred ninety-five thousand, forty".