2153420210400 has 144 divisors (see below), whose sum is σ = 7012345274928. Its totient is φ = 574002688000.

The previous prime is 2153420210329. The next prime is 2153420210419. The reversal of 2153420210400 is 40120243512.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5525980 + ... + 5902820.

It is an arithmetic number, because the mean of its divisors is an integer number (48696842187).

Almost surely, 2^{2153420210400} is an apocalyptic number.

2153420210400 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 2153420210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506172637464).

2153420210400 is an abundant number, since it is smaller than the sum of its proper divisors (4858925064528).

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

2153420210400 is a wasteful number, since it uses less digits than its factorization.

2153420210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379245 (or 379232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2153420210400 its reverse (40120243512), we get a palindrome (2193540453912).

The spelling of 2153420210400 in words is "two trillion, one hundred fifty-three billion, four hundred twenty million, two hundred ten thousand, four hundred".