2474042538240 has 2160 divisors, whose sum is σ = 11444698476288. Its totient is φ = 498730991616.

The previous prime is 2474042538199. The next prime is 2474042538241. The reversal of 2474042538240 is 428352404742.

2474042538240 is a `hidden beast` number, since 2 + 4 + 74 + 0 + 4 + 2 + 538 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2474042538240² (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 not an unprimeable number, because it can be changed into a prime (2474042538241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2821028682 + ... + 2821029558.

Almost surely, 2^{2474042538240} is an apocalyptic number.

2474042538240 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 2474042538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722349238144).

2474042538240 is an abundant number, since it is smaller than the sum of its proper divisors (8970655938048).

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

2474042538240 is a wasteful number, since it uses less digits than its factorization.

2474042538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 2474042538240 in words is "two trillion, four hundred seventy-four billion, forty-two million, five hundred thirty-eight thousand, two hundred forty".