2505661267000 has 32 divisors (see below), whose sum is σ = 5863247367120. Its totient is φ = 1002264506400.

The previous prime is 2505661266989. The next prime is 2505661267013. The reversal of 2505661267000 is 7621665052.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 1252829634 + ... + 1252831633.

Almost surely, 2^{2505661267000} is an apocalyptic number.

2505661267000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505661267000 is an abundant number, since it is smaller than the sum of its proper divisors (3357586100120).

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

2505661267000 is a wasteful number, since it uses less digits than its factorization.

2505661267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505661288 (or 2505661274 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 2505661267000 in words is "two trillion, five hundred five billion, six hundred sixty-one million, two hundred sixty-seven thousand".