2948928444000 has 3456 divisors, whose sum is σ = 14323076232192. Its totient is φ = 578534400000.

The previous prime is 2948928443957. The next prime is 2948928444053. The reversal of 2948928444000 is 4448298492.

It is a happy number.

It is a super-2 number, since 2×2948928444000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 71925083980 + ... + 71925084020.

It is an arithmetic number, because the mean of its divisors is an integer number (4144408632).

Almost surely, 2^{2948928444000} is an apocalyptic number.

2948928444000 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 2948928444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161538116096).

2948928444000 is an abundant number, since it is smaller than the sum of its proper divisors (11374147788192).

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

2948928444000 is a wasteful number, since it uses less digits than its factorization.

2948928444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2948928444000 in words is "two trillion, nine hundred forty-eight billion, nine hundred twenty-eight million, four hundred forty-four thousand".