2148736590 has 768 divisors, whose sum is σ = 8423460864. Its totient is φ = 364953600.

The previous prime is 2148736561. The next prime is 2148736649. The reversal of 2148736590 is 956378412.

2148736590 is a `hidden beast` number, since 21 + 4 + 8 + 7 + 36 + 590 = 666.

2148736590 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2148736590 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35225160 + ... + 35225220.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

It is a 1-persistent number, because it is pandigital, but 2⋅2148736590 = 4297473180 is not.

Almost surely, 2^2148736590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148736590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211730432).

2148736590 is an abundant number, since it is smaller than the sum of its proper divisors (6274724274).

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

2148736590 is a wasteful number, since it uses less digits than its factorization.

2148736590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148736590 is about 46354.4667750585. The cubic root of 2148736590 is about 1290.4100192943.

The spelling of 2148736590 in words is "two billion, one hundred forty-eight million, seven hundred thirty-six thousand, five hundred ninety".