2948318315040 has 768 divisors, whose sum is σ = 11869659648000. Its totient is φ = 598853025792.

The previous prime is 2948318315017. The next prime is 2948318315053. The reversal of 2948318315040 is 405138138492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333176536 + ... + 333185384.

It is an arithmetic number, because the mean of its divisors is an integer number (15455286000).

Almost surely, 2^{2948318315040} is an apocalyptic number.

2948318315040 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 2948318315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934829824000).

2948318315040 is an abundant number, since it is smaller than the sum of its proper divisors (8921341332960).

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

2948318315040 is a wasteful number, since it uses less digits than its factorization.

2948318315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 2948318315040 in words is "two trillion, nine hundred forty-eight billion, three hundred eighteen million, three hundred fifteen thousand, forty".