2302422401400 has 768 divisors, whose sum is σ = 8250980474880. Its totient is φ = 525676800000.

The previous prime is 2302422401393. The next prime is 2302422401401. The reversal of 2302422401400 is 41042242032.

It is a super-2 number, since 2×2302422401400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302422401401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4032263115 + ... + 4032263685.

It is an arithmetic number, because the mean of its divisors is an integer number (10743464160).

Almost surely, 2^{2302422401400} is an apocalyptic number.

2302422401400 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 2302422401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125490237440).

2302422401400 is an abundant number, since it is smaller than the sum of its proper divisors (5948558073480).

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

2302422401400 is a wasteful number, since it uses less digits than its factorization.

2302422401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2302422401400 its reverse (41042242032), we get a palindrome (2343464643432).

The spelling of 2302422401400 in words is "two trillion, three hundred two billion, four hundred twenty-two million, four hundred one thousand, four hundred".