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2420492004 = 223373192181
BaseRepresentation
bin1001000001000101…
…1100011011100100
320020200120201211000
42100101130123210
514424121221004
61040103313300
7113660562000
oct22021343344
96220521730
102420492004
111032339517
1257674b830
132c7611cb8
1418d675700
15e2772c39
hex9045c6e4

2420492004 has 288 divisors, whose sum is σ = 7766304000. Its totient is φ = 651551040.

The previous prime is 2420491993. The next prime is 2420492089. The reversal of 2420492004 is 4002940242.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13372794 + ... + 13372974.

Almost surely, 22420492004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420492004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883152000).

2420492004 is an abundant number, since it is smaller than the sum of its proper divisors (5345811996).

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

2420492004 is a wasteful number, since it uses less digits than its factorization.

2420492004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2420492004 is about 49198.4959526203. The cubic root of 2420492004 is about 1342.6656678921.

The spelling of 2420492004 in words is "two billion, four hundred twenty million, four hundred ninety-two thousand, four".