2949828499800 has 480 divisors, whose sum is σ = 12609472629600. Its totient is φ = 622381086720.

The previous prime is 2949828499729. The next prime is 2949828499819. The reversal of 2949828499800 is 89948289492.

It is a happy number.

2949828499800 is a `hidden beast` number, since 2 + 9 + 498 + 2 + 8 + 49 + 98 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 473716 + ... + 2474684.

It is an arithmetic number, because the mean of its divisors is an integer number (26269734645).

Almost surely, 2^{2949828499800} is an apocalyptic number.

2949828499800 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 2949828499800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304736314800).

2949828499800 is an abundant number, since it is smaller than the sum of its proper divisors (9659644129800).

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

2949828499800 is a wasteful number, since it uses less digits than its factorization.

2949828499800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001017 (or 2000999 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 2949828499800 in words is "two trillion, nine hundred forty-nine billion, eight hundred twenty-eight million, four hundred ninety-nine thousand, eight hundred".