2151246037248 has 864 divisors, whose sum is σ = 8355639801600. Its totient is φ = 525860536320.

The previous prime is 2151246037243. The next prime is 2151246037261. The reversal of 2151246037248 is 8427306421512.

2151246037248 is a `hidden beast` number, since 2 + 1 + 5 + 12 + 4 + 603 + 7 + 24 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2151246037243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147773586 + ... + 147788142.

It is an arithmetic number, because the mean of its divisors is an integer number (9670879400).

Almost surely, 2^{2151246037248} is an apocalyptic number.

2151246037248 is a gapful number since it is divisible by the number (28) 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 2151246037248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177819900800).

2151246037248 is an abundant number, since it is smaller than the sum of its proper divisors (6204393764352).

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

2151246037248 is a wasteful number, since it uses less digits than its factorization.

2151246037248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14628 (or 14597 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2151246037248 in words is "two trillion, one hundred fifty-one billion, two hundred forty-six million, thirty-seven thousand, two hundred forty-eight".