2494496342016 has 1280 divisors, whose sum is σ = 9061974282240. Its totient is φ = 668860416000.

The previous prime is 2494496341951. The next prime is 2494496342033. The reversal of 2494496342016 is 6102436944942.

2494496342016 is a `hidden beast` number, since 2 + 4 + 94 + 496 + 34 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35133751261 + ... + 35133751331.

It is an arithmetic number, because the mean of its divisors is an integer number (7079667408).

Almost surely, 2^{2494496342016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494496342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530987141120).

2494496342016 is an abundant number, since it is smaller than the sum of its proper divisors (6567477940224).

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

2494496342016 is an frugal number, since it uses more digits than its factorization.

2494496342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2494496342016 in words is "two trillion, four hundred ninety-four billion, four hundred ninety-six million, three hundred forty-two thousand, sixteen".