2511948463248 has 240 divisors, whose sum is σ = 8044465121280. Its totient is φ = 671888270592.

The previous prime is 2511948463243. The next prime is 2511948463307. The reversal of 2511948463248 is 8423648491152.

2511948463248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2511948463243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048523 + ... + 3036501.

It is an arithmetic number, because the mean of its divisors is an integer number (33518604672).

Almost surely, 2^{2511948463248} is an apocalyptic number.

2511948463248 is a gapful number since it is divisible by the number (28) 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 2511948463248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022232560640).

2511948463248 is an abundant number, since it is smaller than the sum of its proper divisors (5532516658032).

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

2511948463248 is a wasteful number, since it uses less digits than its factorization.

2511948463248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988074 (or 988061 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 2511948463248 in words is "two trillion, five hundred eleven billion, nine hundred forty-eight million, four hundred sixty-three thousand, two hundred forty-eight".