2498728611456 has 1152 divisors, whose sum is σ = 9860833157760. Its totient is φ = 610574008320.

The previous prime is 2498728611433. The next prime is 2498728611479. The reversal of 2498728611456 is 6541168278942.

It is a happy number.

2498728611456 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 7 + 2 + 8 + 611 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2498728611433) and next prime (2498728611479).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2498728611393 and 2498728611402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1099307536 + ... + 1099309808.

It is an arithmetic number, because the mean of its divisors is an integer number (8559751005).

Almost surely, 2^{2498728611456} 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 2498728611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930416578880).

2498728611456 is an abundant number, since it is smaller than the sum of its proper divisors (7362104546304).

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

2498728611456 is an equidigital number, since it uses as much as digits as its factorization.

2498728611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2313 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 2498728611456 in words is "two trillion, four hundred ninety-eight billion, seven hundred twenty-eight million, six hundred eleven thousand, four hundred fifty-six".