2141627904 has 320 divisors, whose sum is σ = 7238911680. Its totient is φ = 619315200.

The previous prime is 2141627903. The next prime is 2141627927. The reversal of 2141627904 is 4097261412.

It is a happy number.

2141627904 is a `hidden beast` number, since 21 + 4 + 1 + 627 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141627903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054754 + ... + 3055454.

It is an arithmetic number, because the mean of its divisors is an integer number (22621599).

Almost surely, 2^2141627904 is an apocalyptic number.

2141627904 is a gapful number since it is divisible by the number (24) 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 2141627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2141627904 is an abundant number, since it is smaller than the sum of its proper divisors (5097283776).

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

2141627904 is a wasteful number, since it uses less digits than its factorization.

2141627904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2141627904 is about 46277.7257868189. The cubic root of 2141627904 is about 1288.9854218270.

The spelling of 2141627904 in words is "two billion, one hundred forty-one million, six hundred twenty-seven thousand, nine hundred four".