2953400128 has 224 divisors, whose sum is σ = 7368032000. Its totient is φ = 1170505728.

The previous prime is 2953400117. The next prime is 2953400159. The reversal of 2953400128 is 8210043592.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2953400093 and 2953400102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30447376 + ... + 30447472.

It is an arithmetic number, because the mean of its divisors is an integer number (32893000).

Almost surely, 2^2953400128 is an apocalyptic number.

2953400128 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 2953400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684016000).

2953400128 is an abundant number, since it is smaller than the sum of its proper divisors (4414631872).

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

2953400128 is an equidigital number, since it uses as much as digits as its factorization.

2953400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2953400128 is about 54345.1941573494. The cubic root of 2953400128 is about 1434.7429402718.

The spelling of 2953400128 in words is "two billion, nine hundred fifty-three million, four hundred thousand, one hundred twenty-eight".