2948752745280 has 560 divisors, whose sum is σ = 11152355607360. Its totient is φ = 740052246528.

The previous prime is 2948752745273. The next prime is 2948752745287. The reversal of 2948752745280 is 825472578492.

2948752745280 is a `hidden beast` number, since 2 + 9 + 4 + 87 + 5 + 27 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2948752745273) and next prime (2948752745287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948752745287) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 107061751 + ... + 107089289.

Almost surely, 2^{2948752745280} is an apocalyptic number.

2948752745280 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 2948752745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576177803680).

2948752745280 is an abundant number, since it is smaller than the sum of its proper divisors (8203602862080).

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

2948752745280 is an frugal number, since it uses more digits than its factorization.

2948752745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27600 (or 27566 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 2948752745280 in words is "two trillion, nine hundred forty-eight billion, seven hundred fifty-two million, seven hundred forty-five thousand, two hundred eighty".