2953353312 has 480 divisors, whose sum is σ = 11269843200. Its totient is φ = 736791552.

The previous prime is 2953353307. The next prime is 2953353313. The reversal of 2953353312 is 2133533592.

It is a happy number.

2953353312 is a `hidden beast` number, since 2 + 9 + 5 + 335 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953353313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481239 + ... + 4481897.

It is an arithmetic number, because the mean of its divisors is an integer number (23478840).

Almost surely, 2^2953353312 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 2953353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634921600).

2953353312 is an abundant number, since it is smaller than the sum of its proper divisors (8316489888).

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

2953353312 is a wasteful number, since it uses less digits than its factorization.

2953353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 703 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 2953353312 is about 54344.7634275833. The cubic root of 2953353312 is about 1434.7353592604.

It can be divided in two parts, 2953353 and 312, that added together give a triangular number (2953665 = T₂₄₃₀).

The spelling of 2953353312 in words is "two billion, nine hundred fifty-three million, three hundred fifty-three thousand, three hundred twelve".