2948287237632 has 400 divisors, whose sum is σ = 9607541328000. Its totient is φ = 892704706560.

The previous prime is 2948287237591. The next prime is 2948287237657. The reversal of 2948287237632 is 2367327828492.

2948287237632 is a `hidden beast` number, since 2 + 9 + 482 + 87 + 2 + 3 + 76 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2948287237632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957545469 + ... + 957548547.

It is an arithmetic number, because the mean of its divisors is an integer number (24018853320).

Almost surely, 2^{2948287237632} is an apocalyptic number.

2948287237632 is a gapful number since it is divisible by the number (22) 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 2948287237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803770664000).

2948287237632 is an abundant number, since it is smaller than the sum of its proper divisors (6659254090368).

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

2948287237632 is a wasteful number, since it uses less digits than its factorization.

2948287237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5194 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 2948287237632 in words is "two trillion, nine hundred forty-eight billion, two hundred eighty-seven million, two hundred thirty-seven thousand, six hundred thirty-two".