2467074990240 has 288 divisors, whose sum is σ = 9669950035200. Its totient is φ = 561068716032.

The previous prime is 2467074990227. The next prime is 2467074990271. The reversal of 2467074990240 is 420994707642.

2467074990240 is a `hidden beast` number, since 2 + 46 + 70 + 7 + 499 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2467074990240³ (a number of 38 digits) contains 333 as substring.

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, 1390972 + ... + 2620868.

It is an arithmetic number, because the mean of its divisors is an integer number (33576215400).

Almost surely, 2^{2467074990240} is an apocalyptic number.

2467074990240 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 2467074990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834975017600).

2467074990240 is an abundant number, since it is smaller than the sum of its proper divisors (7202875044960).

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

2467074990240 is a wasteful number, since it uses less digits than its factorization.

2467074990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230124 (or 1230113 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2467074990240 in words is "two trillion, four hundred sixty-seven billion, seventy-four million, nine hundred ninety thousand, two hundred forty".