2149908480000 has 900 divisors, whose sum is σ = 8059159755075. Its totient is φ = 573308928000.

The previous prime is 2149908479947. The next prime is 2149908480029. The reversal of 2149908480000 is 848099412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ (2!)³.

2149908480000 is a `hidden beast` number, since 2 + 1 + 499 + 0 + 84 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 497058840576 + 1652849639424 = 705024^2 + 1285632^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1036800.

It is a super-5 number, since 5×2149908480000⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 429981695998 + ... + 429981696002.

Almost surely, 2^{2149908480000} is an apocalyptic number.

2149908480000 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 2149908480000

2149908480000 is an abundant number, since it is smaller than the sum of its proper divisors (5909251275075).

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

2149908480000 is an frugal number, since it uses more digits than its factorization.

2149908480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

2149908480000 divided by its product of nonzero digits (165888) gives a 4-th power (12960000 = 60⁴).

The spelling of 2149908480000 in words is "two trillion, one hundred forty-nine billion, nine hundred eight million, four hundred eighty thousand".