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2429488620 = 22335132341367
BaseRepresentation
bin1001000011001111…
…0000110111101100
320021022111210212000
42100303300313230
514433422113440
61041024212300
7114130212126
oct22063606754
96238453760
102429488620
111037423839
1257976a090
132c9441c40
14190938216
15e344d730
hex90cf0dec

2429488620 has 384 divisors, whose sum is σ = 8724602880. Its totient is φ = 556554240.

The previous prime is 2429488619. The next prime is 2429488667. The reversal of 2429488620 is 268849242.

2429488620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6619677 + ... + 6620043.

It is an arithmetic number, because the mean of its divisors is an integer number (22720320).

Almost surely, 22429488620 is an apocalyptic number.

2429488620 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 2429488620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362301440).

2429488620 is an abundant number, since it is smaller than the sum of its proper divisors (6295114260).

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

2429488620 is a wasteful number, since it uses less digits than its factorization.

2429488620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2429488620 is about 49289.8429699264. The cubic root of 2429488620 is about 1344.3271086776.

The spelling of 2429488620 in words is "two billion, four hundred twenty-nine million, four hundred eighty-eight thousand, six hundred twenty".