2350224000 has 384 divisors, whose sum is σ = 8894808000. Its totient is φ = 593049600.

The previous prime is 2350223999. The next prime is 2350224001. The reversal of 2350224000 is 4220532.

It is an interprime number because it is at equal distance from previous prime (2350223999) and next prime (2350224001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2350224001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735571 + ... + 2736429.

Almost surely, 2^2350224000 is an apocalyptic number.

2350224000 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 2350224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447404000).

2350224000 is an abundant number, since it is smaller than the sum of its proper divisors (6544584000).

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

2350224000 is a wasteful number, since it uses less digits than its factorization.

2350224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2350224000 is about 48479.1089027016. The cubic root of 2350224000 is about 1329.5451362540.

Adding to 2350224000 its reverse (4220532), we get a palindrome (2354444532).

The spelling of 2350224000 in words is "two billion, three hundred fifty million, two hundred twenty-four thousand".