2351320400 has 360 divisors, whose sum is σ = 6935644632. Its totient is φ = 760320000.

The previous prime is 2351320393. The next prime is 2351320409. The reversal of 2351320400 is 40231532.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 101525776 + 2249794624 = 10076^2 + 47432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2351320409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23280350 + ... + 23280450.

Almost surely, 2^2351320400 is an apocalyptic number.

2351320400 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 2351320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467822316).

2351320400 is an abundant number, since it is smaller than the sum of its proper divisors (4584324232).

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

2351320400 is a wasteful number, since it uses less digits than its factorization.

2351320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2351320400 is about 48490.4155478173. The cubic root of 2351320400 is about 1329.7518522475.

Adding to 2351320400 its reverse (40231532), we get a palindrome (2391551932).

The spelling of 2351320400 in words is "two billion, three hundred fifty-one million, three hundred twenty thousand, four hundred".