2953984339152 has 960 divisors, whose sum is σ = 11642454835200. Its totient is φ = 698794905600.

The previous prime is 2953984339139. The next prime is 2953984339181. The reversal of 2953984339152 is 2519334893592.

It is a happy number.

2953984339152 is a `hidden beast` number, since 2 + 9 + 539 + 8 + 4 + 3 + 3 + 91 + 5 + 2 = 666.

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 2953984339152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192823749 + ... + 192839067.

It is an arithmetic number, because the mean of its divisors is an integer number (12127557120).

Almost surely, 2^{2953984339152} is an apocalyptic number.

2953984339152 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 2953984339152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821227417600).

2953984339152 is an abundant number, since it is smaller than the sum of its proper divisors (8688470496048).

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

2953984339152 is a wasteful number, since it uses less digits than its factorization.

2953984339152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15390 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 2953984339152 in words is "two trillion, nine hundred fifty-three billion, nine hundred eighty-four million, three hundred thirty-nine thousand, one hundred fifty-two".