2412275040 has 384 divisors, whose sum is σ = 9718410240. Its totient is φ = 547430400.

The previous prime is 2412275023. The next prime is 2412275053. The reversal of 2412275040 is 405722142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2412274995 and 2412275013.

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, 7287675 + ... + 7288005.

It is an arithmetic number, because the mean of its divisors is an integer number (25308360).

Almost surely, 2^2412275040 is an apocalyptic number.

2412275040 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 2412275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859205120).

2412275040 is an abundant number, since it is smaller than the sum of its proper divisors (7306135200).

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

2412275040 is a wasteful number, since it uses less digits than its factorization.

2412275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2412275040 is about 49114.9166750795. The cubic root of 2412275040 is about 1341.1446075207.

Adding to 2412275040 its reverse (405722142), we get a palindrome (2817997182).

The spelling of 2412275040 in words is "two billion, four hundred twelve million, two hundred seventy-five thousand, forty".