2210144972640 has 768 divisors, whose sum is σ = 8160097075200. Its totient is φ = 497480417280.

The previous prime is 2210144972611. The next prime is 2210144972671. The reversal of 2210144972640 is 462794410122.

2210144972640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2210144972592 and 2210144972601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 724873836 + ... + 724876884.

It is an arithmetic number, because the mean of its divisors is an integer number (10625126400).

Almost surely, 2^{2210144972640} is an apocalyptic number.

2210144972640 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 2210144972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080048537600).

2210144972640 is an abundant number, since it is smaller than the sum of its proper divisors (5949952102560).

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

2210144972640 is a wasteful number, since it uses less digits than its factorization.

2210144972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 2210144972640 in words is "two trillion, two hundred ten billion, one hundred forty-four million, nine hundred seventy-two thousand, six hundred forty".