2949647063040 has 576 divisors, whose sum is σ = 11062727020800. Its totient is φ = 752359145472.

The previous prime is 2949647062963. The next prime is 2949647063053. The reversal of 2949647063040 is 403607469492.

2949647063040 is a `hidden beast` number, since 29 + 4 + 96 + 470 + 63 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57205591 + ... + 57257129.

It is an arithmetic number, because the mean of its divisors is an integer number (19206123300).

Almost surely, 2^{2949647063040} is an apocalyptic number.

2949647063040 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 2949647063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531363510400).

2949647063040 is an abundant number, since it is smaller than the sum of its proper divisors (8113079957760).

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

2949647063040 is an equidigital number, since it uses as much as digits as its factorization.

2949647063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51604 (or 51572 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2949647063040 in words is "two trillion, nine hundred forty-nine billion, six hundred forty-seven million, sixty-three thousand, forty".