2549725101690 has 128 divisors (see below), whose sum is σ = 6652946361600. Its totient is φ = 621639567360.

The previous prime is 2549725101667. The next prime is 2549725101713. The reversal of 2549725101690 is 961015279452.

It is an interprime number because it is at equal distance from previous prime (2549725101667) and next prime (2549725101713).

It is a super-2 number, since 2×2549725101690² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136405245 + ... + 136423935.

It is an arithmetic number, because the mean of its divisors is an integer number (51976143450).

Almost surely, 2^{2549725101690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549725101690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326473180800).

2549725101690 is an abundant number, since it is smaller than the sum of its proper divisors (4103221259910).

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

2549725101690 is a wasteful number, since it uses less digits than its factorization.

2549725101690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032.

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 2549725101690 in words is "two trillion, five hundred forty-nine billion, seven hundred twenty-five million, one hundred one thousand, six hundred ninety".