2048327157240 has 384 divisors, whose sum is σ = 8206886338560. Its totient is φ = 431458348032.

The previous prime is 2048327157223. The next prime is 2048327157353. The reversal of 2048327157240 is 427517238402.

2048327157240 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 2 + 71 + 572 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19833817 + ... + 19936823.

It is an arithmetic number, because the mean of its divisors is an integer number (21372099840).

Almost surely, 2^{2048327157240} is an apocalyptic number.

2048327157240 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 2048327157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103443169280).

2048327157240 is an abundant number, since it is smaller than the sum of its proper divisors (6158559181320).

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

2048327157240 is a wasteful number, since it uses less digits than its factorization.

2048327157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103651 (or 103644 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2048327157240 in words is "two trillion, forty-eight billion, three hundred twenty-seven million, one hundred fifty-seven thousand, two hundred forty".