2672351503200 has 288 divisors, whose sum is σ = 9976781445120. Its totient is φ = 689638924800.

The previous prime is 2672351503181. The next prime is 2672351503249. The reversal of 2672351503200 is 23051532762.

2672351503200 is a `hidden beast` number, since 2 + 67 + 23 + 51 + 503 + 20 + 0 = 666.

2672351503200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2672351503200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325884 + ... + 2665083.

It is an arithmetic number, because the mean of its divisors is an integer number (34641602240).

Almost surely, 2^{2672351503200} is an apocalyptic number.

2672351503200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672351503200 is an abundant number, since it is smaller than the sum of its proper divisors (7304429941920).

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

2672351503200 is a wasteful number, since it uses less digits than its factorization.

2672351503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991027 (or 3991008 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 2672351503200 in words is "two trillion, six hundred seventy-two billion, three hundred fifty-one million, five hundred three thousand, two hundred".