2467458542120 has 256 divisors, whose sum is σ = 6558352738560. Its totient is φ = 823680000000.

The previous prime is 2467458542063. The next prime is 2467458542137. The reversal of 2467458542120 is 212458547642.

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, 1867871060 + ... + 1867872380.

It is an arithmetic number, because the mean of its divisors is an integer number (25618565385).

Almost surely, 2^{2467458542120} is an apocalyptic number.

2467458542120 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 2467458542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279176369280).

2467458542120 is an abundant number, since it is smaller than the sum of its proper divisors (4090894196440).

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

2467458542120 is a wasteful number, since it uses less digits than its factorization.

2467458542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 50.

The spelling of 2467458542120 in words is "two trillion, four hundred sixty-seven billion, four hundred fifty-eight million, five hundred forty-two thousand, one hundred twenty".