2464772543904 has 432 divisors, whose sum is σ = 7473493937952. Its totient is φ = 710666880000.

The previous prime is 2464772543867. The next prime is 2464772543929. The reversal of 2464772543904 is 4093452774642.

It is a super-2 number, since 2×2464772543904² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1296565354 + ... + 1296567254.

It is an arithmetic number, because the mean of its divisors is an integer number (17299754486).

Almost surely, 2^{2464772543904} is an apocalyptic number.

2464772543904 is a gapful number since it is divisible by the number (24) 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 2464772543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736746968976).

2464772543904 is an abundant number, since it is smaller than the sum of its proper divisors (5008721394048).

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

2464772543904 is a wasteful number, since it uses less digits than its factorization.

2464772543904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 2464772543904 in words is "two trillion, four hundred sixty-four billion, seven hundred seventy-two million, five hundred forty-three thousand, nine hundred four".