2670144754368 has 448 divisors, whose sum is σ = 8854651653120. Its totient is φ = 691324305408.

The previous prime is 2670144754367. The next prime is 2670144754397. The reversal of 2670144754368 is 8634574410762.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2670144754367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1044247746 + ... + 1044250302.

It is an arithmetic number, because the mean of its divisors is an integer number (19764847440).

Almost surely, 2^{2670144754368} is an apocalyptic number.

2670144754368 is a gapful number since it is divisible by the number (28) 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 2670144754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427325826560).

2670144754368 is an abundant number, since it is smaller than the sum of its proper divisors (6184506898752).

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

2670144754368 is a wasteful number, since it uses less digits than its factorization.

2670144754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 2670144754368 in words is "two trillion, six hundred seventy billion, one hundred forty-four million, seven hundred fifty-four thousand, three hundred sixty-eight".