2948637712944 has 1200 divisors, whose sum is σ = 10861682843520. Its totient is φ = 681088020480.

The previous prime is 2948637712903. The next prime is 2948637712991. The reversal of 2948637712944 is 4492177368492.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7780046547 + ... + 7780046925.

Almost surely, 2^{2948637712944} is an apocalyptic number.

2948637712944 is a gapful number since it is divisible by the number (24) 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 2948637712944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430841421760).

2948637712944 is an abundant number, since it is smaller than the sum of its proper divisors (7913045130576).

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

2948637712944 is a wasteful number, since it uses less digits than its factorization.

2948637712944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 438 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 2948637712944 in words is "two trillion, nine hundred forty-eight billion, six hundred thirty-seven million, seven hundred twelve thousand, nine hundred forty-four".