2102240400420 has 192 divisors, whose sum is σ = 6223444254720. Its totient is φ = 529138401792.

The previous prime is 2102240400401. The next prime is 2102240400431. The reversal of 2102240400420 is 240040422012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244527562 + ... + 244536158.

It is an arithmetic number, because the mean of its divisors is an integer number (32413772160).

Almost surely, 2^{2102240400420} is an apocalyptic number.

2102240400420 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 2102240400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111722127360).

2102240400420 is an abundant number, since it is smaller than the sum of its proper divisors (4121203854300).

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

2102240400420 is a wasteful number, since it uses less digits than its factorization.

2102240400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 2102240400420 its reverse (240040422012), we get a palindrome (2342280822432).

The spelling of 2102240400420 in words is "two trillion, one hundred two billion, two hundred forty million, four hundred thousand, four hundred twenty".