2549760000000 has 576 divisors, whose sum is σ = 8601545167488. Its totient is φ = 671744000000.

The previous prime is 2549759999989. The next prime is 2549760000023. The reversal of 2549760000000 is 679452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30719999959 + ... + 30720000041.

It is an arithmetic number, because the mean of its divisors is an integer number (14933238138).

Almost surely, 2^{2549760000000} is an apocalyptic number.

2549760000000 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 2549760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300772583744).

2549760000000 is an abundant number, since it is smaller than the sum of its proper divisors (6051785167488).

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

2549760000000 is an frugal number, since it uses more digits than its factorization.

2549760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 2549760000000 its reverse (679452), we get a palindrome (2549760679452).

The spelling of 2549760000000 in words is "two trillion, five hundred forty-nine billion, seven hundred sixty million", and thus it is an aban number.