2469028117248 has 1728 divisors, whose sum is σ = 9767584899072. Its totient is φ = 603049328640.

The previous prime is 2469028117223. The next prime is 2469028117249. The reversal of 2469028117248 is 8427118209642.

2469028117248 is a `hidden beast` number, since 2 + 469 + 0 + 2 + 8 + 1 + 172 + 4 + 8 = 666.

2469028117248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2469028117248² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2469028117194 and 2469028117203.

It is not an unprimeable number, because it can be changed into a prime (2469028117249) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8042436711 + ... + 8042437017.

Almost surely, 2^{2469028117248} is an apocalyptic number.

2469028117248 is a gapful number since it is divisible by the number (28) 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 2469028117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883792449536).

2469028117248 is an abundant number, since it is smaller than the sum of its proper divisors (7298556781824).

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

2469028117248 is a wasteful number, since it uses less digits than its factorization.

2469028117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2469028117248 in words is "two trillion, four hundred sixty-nine billion, twenty-eight million, one hundred seventeen thousand, two hundred forty-eight".