2469438504960 has 960 divisors, whose sum is σ = 9512391168000. Its totient is φ = 534824091648.

The previous prime is 2469438504943. The next prime is 2469438504971. The reversal of 2469438504960 is 694058349642.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2469438504894 and 2469438504903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5499862816 + ... + 5499863264.

It is an arithmetic number, because the mean of its divisors is an integer number (9908740800).

Almost surely, 2^{2469438504960} is an apocalyptic number.

2469438504960 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 2469438504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756195584000).

2469438504960 is an abundant number, since it is smaller than the sum of its proper divisors (7042952663040).

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

2469438504960 is a wasteful number, since it uses less digits than its factorization.

2469438504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 2469438504960 in words is "two trillion, four hundred sixty-nine billion, four hundred thirty-eight million, five hundred four thousand, nine hundred sixty".