2653175381472 has 288 divisors, whose sum is σ = 9480791384064. Its totient is φ = 683709465600.

The previous prime is 2653175381443. The next prime is 2653175381477. The reversal of 2653175381472 is 2741835713562.

2653175381472 is a `hidden beast` number, since 2 + 6 + 5 + 31 + 7 + 538 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653175381477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2345322 + ... + 3287382.

It is an arithmetic number, because the mean of its divisors is an integer number (32919414528).

Almost surely, 2^{2653175381472} is an apocalyptic number.

2653175381472 is a gapful number since it is divisible by the number (22) 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 2653175381472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740395692032).

2653175381472 is an abundant number, since it is smaller than the sum of its proper divisors (6827616002592).

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

2653175381472 is a wasteful number, since it uses less digits than its factorization.

2653175381472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942222 (or 942211 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 2653175381472 in words is "two trillion, six hundred fifty-three billion, one hundred seventy-five million, three hundred eighty-one thousand, four hundred seventy-two".