2141270208 has 672 divisors, whose sum is σ = 8478316800. Its totient is φ = 526901760.

The previous prime is 2141270203. The next prime is 2141270213. The reversal of 2141270208 is 8020721412.

It is an interprime number because it is at equal distance from previous prime (2141270203) and next prime (2141270213).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (2141270203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112698423 + ... + 112698441.

Almost surely, 2^2141270208 is an apocalyptic number.

2141270208 is a gapful number since it is divisible by the number (28) 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 2141270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239158400).

2141270208 is an abundant number, since it is smaller than the sum of its proper divisors (6337046592).

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

2141270208 is a wasteful number, since it uses less digits than its factorization.

2141270208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2141270208 is about 46273.8609584288. The cubic root of 2141270208 is about 1288.9136554540.

The spelling of 2141270208 in words is "two billion, one hundred forty-one million, two hundred seventy thousand, two hundred eight".