2352402000 has 400 divisors, whose sum is σ = 9158861712. Its totient is φ = 578534400.

The previous prime is 2352401969. The next prime is 2352402001. The reversal of 2352402000 is 2042532.

It can be written as a sum of positive squares in 8 ways, for example, as 1844530704 + 507871296 = 42948^2 + 22536^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352402001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105442 + ... + 2106558.

Almost surely, 2^2352402000 is an apocalyptic number.

2352402000 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 2352402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579430856).

2352402000 is an abundant number, since it is smaller than the sum of its proper divisors (6806459712).

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

2352402000 is a wasteful number, since it uses less digits than its factorization.

2352402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

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

The square root of 2352402000 is about 48501.5669849954. The cubic root of 2352402000 is about 1329.9557148840.

Adding to 2352402000 its reverse (2042532), we get a palindrome (2354444532).

The spelling of 2352402000 in words is "two billion, three hundred fifty-two million, four hundred two thousand".