2949670563840 has 2496 divisors, whose sum is σ = 14275206650880. Its totient is φ = 558020689920.

The previous prime is 2949670563811. The next prime is 2949670563947. The reversal of 2949670563840 is 483650769492.

2949670563840 is a `hidden beast` number, since 2 + 9 + 4 + 9 + 67 + 0 + 563 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40406446044 + ... + 40406446116.

Almost surely, 2^{2949670563840} is an apocalyptic number.

2949670563840 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 2949670563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137603325440).

2949670563840 is an abundant number, since it is smaller than the sum of its proper divisors (11325536087040).

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

2949670563840 is a wasteful number, since it uses less digits than its factorization.

2949670563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2949670563840 in words is "two trillion, nine hundred forty-nine billion, six hundred seventy million, five hundred sixty-three thousand, eight hundred forty".