2240642420400 has 120 divisors (see below), whose sum is σ = 7187509969920. Its totient is φ = 596673393920.

The previous prime is 2240642420351. The next prime is 2240642420473. The reversal of 2240642420400 is 40242460422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435672 + ... + 2161271.

It is an arithmetic number, because the mean of its divisors is an integer number (59895916416).

Almost surely, 2^{2240642420400} is an apocalyptic number.

2240642420400 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 2240642420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593754984960).

2240642420400 is an abundant number, since it is smaller than the sum of its proper divisors (4946867549520).

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

2240642420400 is a wasteful number, since it uses less digits than its factorization.

2240642420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597683 (or 2597672 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2240642420400 its reverse (40242460422), we get a palindrome (2280884880822).

The spelling of 2240642420400 in words is "two trillion, two hundred forty billion, six hundred forty-two million, four hundred twenty thousand, four hundred".