2157486907392 has 504 divisors, whose sum is σ = 6541224878916. Its totient is φ = 711476379648.

The previous prime is 2157486907349. The next prime is 2157486907399. The reversal of 2157486907392 is 2937096847512.

2157486907392 is a `hidden beast` number, since 2 + 15 + 74 + 86 + 90 + 7 + 392 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1944619094016 + 212867813376 = 1394496^2 + 461376^2 .

It is not an unprimeable number, because it can be changed into a prime (2157486907399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7363436398 + ... + 7363436690.

It is a 1-persistent number, because it is pandigital, but 2⋅2157486907392 = 4314973814784 is not.

Almost surely, 2^{2157486907392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157486907392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270612439458).

2157486907392 is an abundant number, since it is smaller than the sum of its proper divisors (4383737971524).

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

2157486907392 is an frugal number, since it uses more digits than its factorization.

2157486907392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2157486907392 in words is "two trillion, one hundred fifty-seven billion, four hundred eighty-six million, nine hundred seven thousand, three hundred ninety-two".