2151501004800 has 1368 divisors, whose sum is σ = 9181716596416. Its totient is φ = 489223618560.

The previous prime is 2151501004769. The next prime is 2151501004801. The reversal of 2151501004800 is 84001051512.

2151501004800 is a `hidden beast` number, since 2 + 1 + 515 + 0 + 100 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151501004801) 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 71 ways as a sum of consecutive naturals, for example, 11147673504 + ... + 11147673696.

Almost surely, 2^{2151501004800} is an apocalyptic number.

2151501004800 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 2151501004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590858298208).

2151501004800 is an abundant number, since it is smaller than the sum of its proper divisors (7030215591616).

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

2151501004800 is an frugal number, since it uses more digits than its factorization.

2151501004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 2151501004800 in words is "two trillion, one hundred fifty-one billion, five hundred one million, four thousand, eight hundred".