2953221961536 has 448 divisors, whose sum is σ = 10925432616960. Its totient is φ = 759898091520.

The previous prime is 2953221961517. The next prime is 2953221961541. The reversal of 2953221961536 is 6351691223592.

2953221961536 is a `hidden beast` number, since 2 + 9 + 5 + 3 + 2 + 2 + 19 + 615 + 3 + 6 = 666.

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

It is a super-3 number, since 3×2953221961536³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14133276 + ... + 14340708.

Almost surely, 2^{2953221961536} 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 2953221961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462716308480).

2953221961536 is an abundant number, since it is smaller than the sum of its proper divisors (7972210655424).

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

2953221961536 is a wasteful number, since it uses less digits than its factorization.

2953221961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207579 (or 207563 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 2953221961536 in words is "two trillion, nine hundred fifty-three billion, two hundred twenty-one million, nine hundred sixty-one thousand, five hundred thirty-six".