2567340400000 has 96 divisors (see below), whose sum is σ = 6392871142560. Its totient is φ = 1026936000000.

The previous prime is 2567340399991. The next prime is 2567340400003. The reversal of 2567340400000 is 40437652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567340400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2809176 + ... + 3609175.

It is an arithmetic number, because the mean of its divisors is an integer number (66592407735).

Almost surely, 2^{2567340400000} is an apocalyptic number.

2567340400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2567340400000 is an abundant number, since it is smaller than the sum of its proper divisors (3825530742560).

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

2567340400000 is an frugal number, since it uses more digits than its factorization.

2567340400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418390 (or 6418358 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 2567340400000 its reverse (40437652), we get a palindrome (2567380837652).

The spelling of 2567340400000 in words is "two trillion, five hundred sixty-seven billion, three hundred forty million, four hundred thousand".