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2421520640 = 28571179311
BaseRepresentation
bin1001000001010101…
…0111100100000000
320020202111222211122
42100111113210000
514424402130030
61040141331412
7114002404640
oct22025274400
96222458748
102421520640
111032981330
12576b66b68
132c78b2266
1418d862520
15e28c78e5
hex90557900

2421520640 has 288 divisors, whose sum is σ = 7346626560. Its totient is φ = 742809600.

The previous prime is 2421520637. The next prime is 2421520649. The reversal of 2421520640 is 460251242.

It is not an unprimeable number, because it can be changed into a prime (2421520649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7786085 + ... + 7786395.

It is an arithmetic number, because the mean of its divisors is an integer number (25509120).

Almost surely, 22421520640 is an apocalyptic number.

2421520640 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 2421520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673313280).

2421520640 is an abundant number, since it is smaller than the sum of its proper divisors (4925105920).

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

2421520640 is a wasteful number, since it uses less digits than its factorization.

2421520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2421520640 is about 49208.9487796681. The cubic root of 2421520640 is about 1342.8558384087.

Adding to 2421520640 its reverse (460251242), we get a palindrome (2881771882).

The spelling of 2421520640 in words is "two billion, four hundred twenty-one million, five hundred twenty thousand, six hundred forty".