2549711010672 has 640 divisors, whose sum is σ = 8925011619840. Its totient is φ = 689762304000.

The previous prime is 2549711010641. The next prime is 2549711010709. The reversal of 2549711010672 is 2760101179452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569002672 + ... + 569007152.

It is an arithmetic number, because the mean of its divisors is an integer number (13945330656).

Almost surely, 2^{2549711010672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549711010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462505809920).

2549711010672 is an abundant number, since it is smaller than the sum of its proper divisors (6375300609168).

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

2549711010672 is a wasteful number, since it uses less digits than its factorization.

2549711010672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2549711010672 in words is "two trillion, five hundred forty-nine billion, seven hundred eleven million, ten thousand, six hundred seventy-two".