2146011162400 has 288 divisors, whose sum is σ = 6044177397888. Its totient is φ = 728826470400.

The previous prime is 2146011162389. The next prime is 2146011162401. The reversal of 2146011162400 is 42611106412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2146011162401) 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, 272228859 + ... + 272236741.

It is an arithmetic number, because the mean of its divisors is an integer number (20986727076).

Almost surely, 2^{2146011162400} is an apocalyptic number.

2146011162400 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 2146011162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022088698944).

2146011162400 is an abundant number, since it is smaller than the sum of its proper divisors (3898166235488).

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

2146011162400 is a wasteful number, since it uses less digits than its factorization.

2146011162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 2146011162400 its reverse (42611106412), we get a palindrome (2188622268812).

The spelling of 2146011162400 in words is "two trillion, one hundred forty-six billion, eleven million, one hundred sixty-two thousand, four hundred".