2412728640 has 672 divisors, whose sum is σ = 10215676800. Its totient is φ = 534159360.

The previous prime is 2412728609. The next prime is 2412728677. The reversal of 2412728640 is 468272142.

2412728640 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 7 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2412728595 and 2412728604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17357691 + ... + 17357829.

It is an arithmetic number, because the mean of its divisors is an integer number (15201900).

Almost surely, 2^2412728640 is an apocalyptic number.

2412728640 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 2412728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107838400).

2412728640 is an abundant number, since it is smaller than the sum of its proper divisors (7802948160).

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

2412728640 is a wasteful number, since it uses less digits than its factorization.

2412728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2412728640 is about 49119.5341997458. The cubic root of 2412728640 is about 1341.2286644182.

The spelling of 2412728640 in words is "two billion, four hundred twelve million, seven hundred twenty-eight thousand, six hundred forty".