2492493004080 has 240 divisors, whose sum is σ = 8813105315040. Its totient is φ = 629544960000.

The previous prime is 2492493004039. The next prime is 2492493004091. The reversal of 2492493004080 is 804003942942.

It is a happy number.

2492493004080 is a `hidden beast` number, since 2 + 49 + 2 + 493 + 0 + 0 + 40 + 80 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72226830 + ... + 72261330.

It is an arithmetic number, because the mean of its divisors is an integer number (36721272146).

Almost surely, 2^{2492493004080} is an apocalyptic number.

2492493004080 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 2492493004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406552657520).

2492493004080 is an abundant number, since it is smaller than the sum of its proper divisors (6320612310960).

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

2492493004080 is a wasteful number, since it uses less digits than its factorization.

2492493004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39820 (or 39811 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2492493004080 in words is "two trillion, four hundred ninety-two billion, four hundred ninety-three million, four thousand, eighty".