2100147840 has 384 divisors, whose sum is σ = 8465184000. Its totient is φ = 479582208.

The previous prime is 2100147823. The next prime is 2100147851. The reversal of 2100147840 is 487410012.

2100147840 is digitally balanced in base 4, 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 (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1975149 + ... + 1976211.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^2100147840 is an apocalyptic number.

2100147840 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 2100147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232592000).

2100147840 is an abundant number, since it is smaller than the sum of its proper divisors (6365036160).

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

2100147840 is a wasteful number, since it uses less digits than its factorization.

2100147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1080 counting only the distinct ones).

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

The square root of 2100147840 is about 45827.3699878141. The cubic root of 2100147840 is about 1280.6092152067.

Adding to 2100147840 its reverse (487410012), we get a palindrome (2587557852).

The spelling of 2100147840 in words is "two billion, one hundred million, one hundred forty-seven thousand, eight hundred forty".