2420417472 has 112 divisors (see below), whose sum is σ = 7010838912. Its totient is φ = 730874880.

The previous prime is 2420417437. The next prime is 2420417501. The reversal of 2420417472 is 2747140242.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646518 + ... + 650250.

It is an arithmetic number, because the mean of its divisors is an integer number (62596776).

Almost surely, 2^2420417472 is an apocalyptic number.

2420417472 is a gapful number since it is divisible by the number (22) 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 2420417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505419456).

2420417472 is an abundant number, since it is smaller than the sum of its proper divisors (4590421440).

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

2420417472 is a wasteful number, since it uses less digits than its factorization.

2420417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 2420417472 is about 49197.7384846092. The cubic root of 2420417472 is about 1342.6518865914.

The spelling of 2420417472 in words is "two billion, four hundred twenty million, four hundred seventeen thousand, four hundred seventy-two".