2949280393280 has 224 divisors, whose sum is σ = 7606884821760. Its totient is φ = 1082689413120.

The previous prime is 2949280393271. The next prime is 2949280393313. The reversal of 2949280393280 is 823930829492.

2949280393280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888603461 + ... + 888606779.

It is an arithmetic number, because the mean of its divisors is an integer number (33959307240).

Almost surely, 2^{2949280393280} is an apocalyptic number.

2949280393280 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 2949280393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803442410880).

2949280393280 is an abundant number, since it is smaller than the sum of its proper divisors (4657604428480).

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

2949280393280 is a wasteful number, since it uses less digits than its factorization.

2949280393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 2949280393280 in words is "two trillion, nine hundred forty-nine billion, two hundred eighty million, three hundred ninety-three thousand, two hundred eighty".