2102424000 has 224 divisors, whose sum is σ = 7351995456. Its totient is φ = 527564800.

The previous prime is 2102423989. The next prime is 2102424001. The reversal of 2102424000 is 4242012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102424001) 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, 405424 + ... + 410576.

Almost surely, 2^2102424000 is an apocalyptic number.

2102424000 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 2102424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675997728).

2102424000 is an abundant number, since it is smaller than the sum of its proper divisors (5249571456).

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

2102424000 is a wasteful number, since it uses less digits than its factorization.

2102424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2102424000 is about 45852.1973301171. The cubic root of 2102424000 is about 1281.0716936085.

Adding to 2102424000 its reverse (4242012), we get a palindrome (2106666012).

The spelling of 2102424000 in words is "two billion, one hundred two million, four hundred twenty-four thousand".