2761267253472 has 864 divisors, whose sum is σ = 10393216414560. Its totient is φ = 710408724480.

The previous prime is 2761267253429. The next prime is 2761267253477. The reversal of 2761267253472 is 2743527621672.

2761267253472 is a `hidden beast` number, since 2 + 7 + 61 + 2 + 67 + 2 + 53 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761267253477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293341438 + ... + 293350850.

It is an arithmetic number, because the mean of its divisors is an integer number (12029185665).

Almost surely, 2^{2761267253472} 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 2761267253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196608207280).

2761267253472 is an abundant number, since it is smaller than the sum of its proper divisors (7631949161088).

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

2761267253472 is a wasteful number, since it uses less digits than its factorization.

2761267253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9479 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 2761267253472 in words is "two trillion, seven hundred sixty-one billion, two hundred sixty-seven million, two hundred fifty-three thousand, four hundred seventy-two".