2442741074640 has 240 divisors, whose sum is σ = 8576068775040. Its totient is φ = 621921991680.

The previous prime is 2442741074593. The next prime is 2442741074659. The reversal of 2442741074640 is 464701472442.

2442741074640 is a `hidden beast` number, since 2 + 442 + 74 + 10 + 74 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2442741074640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8822631 + ... + 9095289.

It is an arithmetic number, because the mean of its divisors is an integer number (35733619896).

Almost surely, 2^{2442741074640} is an apocalyptic number.

2442741074640 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 2442741074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288034387520).

2442741074640 is an abundant number, since it is smaller than the sum of its proper divisors (6133327700400).

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

2442741074640 is a wasteful number, since it uses less digits than its factorization.

2442741074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273242 (or 273233 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 2442741074640 in words is "two trillion, four hundred forty-two billion, seven hundred forty-one million, seventy-four thousand, six hundred forty".