2980954109952 has 1344 divisors, whose sum is σ = 11315197333440. Its totient is φ = 763647492096.

The previous prime is 2980954109897. The next prime is 2980954109953. The reversal of 2980954109952 is 2599014590892.

2980954109952 is a `hidden beast` number, since 2 + 9 + 80 + 9 + 5 + 410 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2980954109952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980954109953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5026903768 + ... + 5026904360.

It is an arithmetic number, because the mean of its divisors is an integer number (8419045635).

Almost surely, 2^{2980954109952} 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 2980954109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657598666720).

2980954109952 is an abundant number, since it is smaller than the sum of its proper divisors (8334243223488).

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

2980954109952 is an equidigital number, since it uses as much as digits as its factorization.

2980954109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 2980954109952 in words is "two trillion, nine hundred eighty billion, nine hundred fifty-four million, one hundred nine thousand, nine hundred fifty-two".