2565419351040 has 2772 divisors, whose sum is σ = 11762360518104. Its totient is φ = 534753902592.

The previous prime is 2565419350979. The next prime is 2565419351083. The reversal of 2565419351040 is 401539145652.

It is a happy number.

2565419351040 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 4 + 1 + 93 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 30908666839 + ... + 30908666921.

Almost surely, 2^{2565419351040} is an apocalyptic number.

2565419351040 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 2565419351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881180259052).

2565419351040 is an abundant number, since it is smaller than the sum of its proper divisors (9196941167064).

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

2565419351040 is an equidigital number, since it uses as much as digits as its factorization.

2565419351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2565419351040 in words is "two trillion, five hundred sixty-five billion, four hundred nineteen million, three hundred fifty-one thousand, forty".