2148536544 has 96 divisors (see below), whose sum is σ = 7031598336. Its totient is φ = 558059520.

The previous prime is 2148536519. The next prime is 2148536573. The reversal of 2148536544 is 4456358412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2148536496 and 2148536505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137937 + ... + 152720.

It is an arithmetic number, because the mean of its divisors is an integer number (73245816).

Almost surely, 2^2148536544 is an apocalyptic number.

2148536544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148536544 is an abundant number, since it is smaller than the sum of its proper divisors (4883061792).

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

2148536544 is a wasteful number, since it uses less digits than its factorization.

2148536544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290688 (or 290680 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2148536544 is about 46352.3089392535. The cubic root of 2148536544 is about 1290.3699726028.

The spelling of 2148536544 in words is "two billion, one hundred forty-eight million, five hundred thirty-six thousand, five hundred forty-four".