2241012313540 has 192 divisors, whose sum is σ = 6593442508800. Its totient is φ = 616733314560.

The previous prime is 2241012313493. The next prime is 2241012313541. The reversal of 2241012313540 is 453132101422.

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

It is a junction number, because it is equal to n+sod(n) for n = 2241012313499 and 2241012313508.

It is not an unprimeable number, because it can be changed into a prime (2241012313541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972990 + ... + 2893909.

It is an arithmetic number, because the mean of its divisors is an integer number (34340846400).

Almost surely, 2^{2241012313540} is an apocalyptic number.

2241012313540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241012313540 is an abundant number, since it is smaller than the sum of its proper divisors (4352430195260).

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

2241012313540 is a wasteful number, since it uses less digits than its factorization.

2241012313540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866962 (or 4866960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 2241012313540 its reverse (453132101422), we get a palindrome (2694144414962).

It can be divided in two parts, 2241012 and 313540, that added together give a palindrome (2554552).

The spelling of 2241012313540 in words is "two trillion, two hundred forty-one billion, twelve million, three hundred thirteen thousand, five hundred forty".