2949715478448 has 160 divisors (see below), whose sum is σ = 8741688115200. Its totient is φ = 951326208000.

The previous prime is 2949715478443. The next prime is 2949715478461. The reversal of 2949715478448 is 8448745179492.

2949715478448 is a `hidden beast` number, since 2 + 9 + 4 + 9 + 71 + 547 + 8 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2949715478443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74560273 + ... + 74599823.

It is an arithmetic number, because the mean of its divisors is an integer number (54635550720).

Almost surely, 2^{2949715478448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949715478448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370844057600).

2949715478448 is an abundant number, since it is smaller than the sum of its proper divisors (5791972636752).

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

2949715478448 is a wasteful number, since it uses less digits than its factorization.

2949715478448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45168 (or 45156 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 2949715478448 in words is "two trillion, nine hundred forty-nine billion, seven hundred fifteen million, four hundred seventy-eight thousand, four hundred forty-eight".