2549216468736 has 576 divisors, whose sum is σ = 8761205376000. Its totient is φ = 725056634880.

The previous prime is 2549216468699. The next prime is 2549216468741. The reversal of 2549216468736 is 6378646129452.

2549216468736 is a `hidden beast` number, since 2 + 5 + 4 + 92 + 16 + 468 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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, 944502715 + ... + 944505413.

It is an arithmetic number, because the mean of its divisors is an integer number (15210426000).

Almost surely, 2^{2549216468736} 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 2549216468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380602688000).

2549216468736 is an abundant number, since it is smaller than the sum of its proper divisors (6211988907264).

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

2549216468736 is an frugal number, since it uses more digits than its factorization.

2549216468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2952 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2549216468736 in words is "two trillion, five hundred forty-nine billion, two hundred sixteen million, four hundred sixty-eight thousand, seven hundred thirty-six".