2141073600 has 168 divisors, whose sum is σ = 7069214208. Its totient is φ = 567321600.

The previous prime is 2141073547. The next prime is 2141073601. The reversal of 2141073600 is 63701412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2141073601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800265 + ... + 802935.

It is an arithmetic number, because the mean of its divisors is an integer number (42078656).

Almost surely, 2^2141073600 is an apocalyptic number.

2141073600 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 2141073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534607104).

2141073600 is an abundant number, since it is smaller than the sum of its proper divisors (4928140608).

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

2141073600 is a wasteful number, since it uses less digits than its factorization.

2141073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2141073600 is about 46271.7365137726. The cubic root of 2141073600 is about 1288.8742055843.

The spelling of 2141073600 in words is "two billion, one hundred forty-one million, seventy-three thousand, six hundred".