2042480240640 has 1728 divisors, whose sum is σ = 8681349156480. Its totient is φ = 451480780800.

The previous prime is 2042480240609. The next prime is 2042480240657. The reversal of 2042480240640 is 460420842402.

It is a happy number.

2042480240640 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 8 + 0 + 2 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042480240595 and 2042480240604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20222576590 + ... + 20222576690.

It is an arithmetic number, because the mean of its divisors is an integer number (5023928910).

Almost surely, 2^{2042480240640} is an apocalyptic number.

2042480240640 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 2042480240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340674578240).

2042480240640 is an abundant number, since it is smaller than the sum of its proper divisors (6638868915840).

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

2042480240640 is an frugal number, since it uses more digits than its factorization.

2042480240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 2042480240640 in words is "two trillion, forty-two billion, four hundred eighty million, two hundred forty thousand, six hundred forty".