2110240000 has 270 divisors, whose sum is σ = 5838701330. Its totient is φ = 760320000.

The previous prime is 2110239977. The next prime is 2110240003. The reversal of 2110240000 is 420112.

It can be written as a sum of positive squares in 5 ways, for example, as 624600064 + 1485639936 = 24992^2 + 38544^2 .

It is a super-2 number, since 2×2110240000² = 8906225715200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110240003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19359946 + ... + 19360054.

Almost surely, 2^2110240000 is an apocalyptic number.

2110240000 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 2110240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919350665).

2110240000 is an abundant number, since it is smaller than the sum of its proper divisors (3728461330).

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

2110240000 is an equidigital number, since it uses as much as digits as its factorization.

2110240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2110240000 is about 45937.3486392064. The cubic root of 2110240000 is about 1282.6572402512.

Adding to 2110240000 its reverse (420112), we get a palindrome (2110660112).

The spelling of 2110240000 in words is "two billion, one hundred ten million, two hundred forty thousand".