2148911581440 has 576 divisors, whose sum is σ = 7667187897600. Its totient is φ = 509300047872.

The previous prime is 2148911581379. The next prime is 2148911581457. The reversal of 2148911581440 is 441851198412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2148911581440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574727091 + ... + 574730829.

It is an arithmetic number, because the mean of its divisors is an integer number (13311090100).

Almost surely, 2^{2148911581440} is an apocalyptic number.

2148911581440 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 2148911581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833593948800).

2148911581440 is an abundant number, since it is smaller than the sum of its proper divisors (5518276316160).

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

2148911581440 is a wasteful number, since it uses less digits than its factorization.

2148911581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 2148911581440 in words is "two trillion, one hundred forty-eight billion, nine hundred eleven million, five hundred eighty-one thousand, four hundred forty".