2948004979200 has 1200 divisors, whose sum is σ = 12162006537120. Its totient is φ = 700870164480.

The previous prime is 2948004979159. The next prime is 2948004979237. The reversal of 2948004979200 is 29794008492.

2948004979200 is a `hidden beast` number, since 29 + 48 + 0 + 0 + 497 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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, 334881999 + ... + 334890801.

Almost surely, 2^{2948004979200} is an apocalyptic number.

2948004979200 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 2948004979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081003268560).

2948004979200 is an abundant number, since it is smaller than the sum of its proper divisors (9214001557920).

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

2948004979200 is a wasteful number, since it uses less digits than its factorization.

2948004979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2948004979200 in words is "two trillion, nine hundred forty-eight billion, four million, nine hundred seventy-nine thousand, two hundred".