2079157248000 has 1120 divisors, whose sum is σ = 8861739277248. Its totient is φ = 475103232000.

The previous prime is 2079157247963. The next prime is 2079157248019. The reversal of 2079157248000 is 8427519702.

It is a happy number.

2079157248000 is a `hidden beast` number, since 2 + 0 + 79 + 1 + 572 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580606210 + ... + 580609790.

Almost surely, 2^{2079157248000} is an apocalyptic number.

2079157248000 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 2079157248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430869638624).

2079157248000 is an abundant number, since it is smaller than the sum of its proper divisors (6782582029248).

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

2079157248000 is an frugal number, since it uses more digits than its factorization.

2079157248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2079157248000 in words is "two trillion, seventy-nine billion, one hundred fifty-seven million, two hundred forty-eight thousand".