2467264536 has 288 divisors, whose sum is σ = 8078026320. Its totient is φ = 702535680.

The previous prime is 2467264531. The next prime is 2467264543. The reversal of 2467264536 is 6354627642.

2467264536 is a `hidden beast` number, since 2 + 46 + 72 + 6 + 4 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2467264491 and 2467264500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467264531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3998500 + ... + 3999116.

Almost surely, 2^2467264536 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 2467264536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039013160).

2467264536 is an abundant number, since it is smaller than the sum of its proper divisors (5610761784).

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

2467264536 is a wasteful number, since it uses less digits than its factorization.

2467264536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 650 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 2467264536 is about 49671.5666755137. The cubic root of 2467264536 is about 1351.2589145493.

The spelling of 2467264536 in words is "two billion, four hundred sixty-seven million, two hundred sixty-four thousand, five hundred thirty-six".