2957628229920 has 1152 divisors, whose sum is σ = 13164098088960. Its totient is φ = 587193753600.

The previous prime is 2957628229903. The next prime is 2957628229931. The reversal of 2957628229920 is 299228267592.

It is a super-3 number, since 3×2957628229920³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375949827 + ... + 375957693.

It is an arithmetic number, because the mean of its divisors is an integer number (11427168480).

Almost surely, 2^{2957628229920} is an apocalyptic number.

2957628229920 is a gapful number since it is divisible by the number (20) 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 2957628229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582049044480).

2957628229920 is an abundant number, since it is smaller than the sum of its proper divisors (10206469859040).

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

2957628229920 is a wasteful number, since it uses less digits than its factorization.

2957628229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2957628229920 in words is "two trillion, nine hundred fifty-seven billion, six hundred twenty-eight million, two hundred twenty-nine thousand, nine hundred twenty".