2958133655040 has 160 divisors (see below), whose sum is σ = 9617069468160. Its totient is φ = 775465426944.

The previous prime is 2958133654967. The next prime is 2958133655047. The reversal of 2958133655040 is 405563318592.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958133655047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2811064 + ... + 3717303.

It is an arithmetic number, because the mean of its divisors is an integer number (60106684176).

Almost surely, 2^{2958133655040} is an apocalyptic number.

2958133655040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2958133655040 is an abundant number, since it is smaller than the sum of its proper divisors (6658935813120).

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

2958133655040 is an equidigital number, since it uses as much as digits as its factorization.

2958133655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528452 (or 6528436 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 2958133655040 in words is "two trillion, nine hundred fifty-eight billion, one hundred thirty-three million, six hundred fifty-five thousand, forty".