2416953240 has 288 divisors, whose sum is σ = 8991244080. Its totient is φ = 559632384.

The previous prime is 2416953233. The next prime is 2416953269. The reversal of 2416953240 is 423596142.

It is a happy number.

2416953240 is a `hidden beast` number, since 24 + 1 + 69 + 532 + 40 = 666.

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 = 2416953195 and 2416953204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1351627 + ... + 1353413.

Almost surely, 2^2416953240 is an apocalyptic number.

2416953240 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 2416953240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495622040).

2416953240 is an abundant number, since it is smaller than the sum of its proper divisors (6574290840).

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

2416953240 is a wasteful number, since it uses less digits than its factorization.

2416953240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2416953240 is about 49162.5186498820. The cubic root of 2416953240 is about 1342.0110221546.

The spelling of 2416953240 in words is "two billion, four hundred sixteen million, nine hundred fifty-three thousand, two hundred forty".