2151208890000 has 225 divisors, whose sum is σ = 7524627311773. Its totient is φ = 573538368000.

The previous prime is 2151208889983. The next prime is 2151208890001. The reversal of 2151208890000 is 988021512.

The square root of 2151208890000 is 1466700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1243929779856 + 907279110144 = 1115316^2 + 952512^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2151208890001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 440007556 + ... + 440012444.

Almost surely, 2^{2151208890000} is an apocalyptic number.

2151208890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2151208890000 is the 1466700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151208890000

2151208890000 is an abundant number, since it is smaller than the sum of its proper divisors (5373418421773).

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

2151208890000 is an frugal number, since it uses more digits than its factorization.

2151208890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 2151208890000 by its sum of digits (36), we get a square (77443520040000 = 8800200²).

2151208890000 divided by its sum of digits (36) gives a square (59755802500 = 244450²).

The spelling of 2151208890000 in words is "two trillion, one hundred fifty-one billion, two hundred eight million, eight hundred ninety thousand".