2949246720000 has 1920 divisors, whose sum is σ = 12723187276800. Its totient is φ = 660897792000.

The previous prime is 2949246719983. The next prime is 2949246720059. The reversal of 2949246720000 is 276429492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17660159917 + ... + 17660160083.

It is an arithmetic number, because the mean of its divisors is an integer number (6626660040).

Almost surely, 2^{2949246720000} is an apocalyptic number.

2949246720000 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 2949246720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361593638400).

2949246720000 is an abundant number, since it is smaller than the sum of its proper divisors (9773940556800).

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

2949246720000 is an equidigital number, since it uses as much as digits as its factorization.

2949246720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2949246720000 in words is "two trillion, nine hundred forty-nine billion, two hundred forty-six million, seven hundred twenty thousand".