2949019967520 has 1344 divisors, whose sum is σ = 11708453836800. Its totient is φ = 695562577920.

The previous prime is 2949019967519. The next prime is 2949019967539. The reversal of 2949019967520 is 257699109492.

2949019967520 is a `hidden beast` number, since 2 + 9 + 4 + 9 + 0 + 19 + 96 + 7 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12338995561 + ... + 12338995799.

It is an arithmetic number, because the mean of its divisors is an integer number (8711647200).

Almost surely, 2^{2949019967520} is an apocalyptic number.

2949019967520 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 2949019967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854226918400).

2949019967520 is an abundant number, since it is smaller than the sum of its proper divisors (8759433869280).

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

2949019967520 is a wasteful number, since it uses less digits than its factorization.

2949019967520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 2949019967520 in words is "two trillion, nine hundred forty-nine billion, nineteen million, nine hundred sixty-seven thousand, five hundred twenty".