2459047683456 has 1152 divisors, whose sum is σ = 9443581056000. Its totient is φ = 619899236352.

The previous prime is 2459047683431. The next prime is 2459047683509. The reversal of 2459047683456 is 6543867409542.

2459047683456 is a `hidden beast` number, since 2 + 4 + 590 + 4 + 7 + 6 + 8 + 34 + 5 + 6 = 666.

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

It is a super-2 number, since 2×2459047683456² (a number of 26 digits) contains 22 as substring.

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 = 2459047683393 and 2459047683402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1757717445 + ... + 1757718843.

It is an arithmetic number, because the mean of its divisors is an integer number (8197553000).

Almost surely, 2^{2459047683456} is an apocalyptic number.

2459047683456 is a gapful number since it is divisible by the number (26) 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 2459047683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721790528000).

2459047683456 is an abundant number, since it is smaller than the sum of its proper divisors (6984533372544).

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

2459047683456 is an equidigital number, since it uses as much as digits as its factorization.

2459047683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 2459047683456 in words is "two trillion, four hundred fifty-nine billion, forty-seven million, six hundred eighty-three thousand, four hundred fifty-six".