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2420899824 = 2437172107233
BaseRepresentation
bin1001000001001011…
…1111111111110000
320020201100110020110
42100102333333300
514424222243244
61040120141320
7113664210660
oct22022777760
96221313213
102420899824
111032597962
12576907840
132c7725805
1418d7401a0
15e28039b9
hex904bfff0

2420899824 has 240 divisors, whose sum is σ = 7696435968. Its totient is φ = 642146304.

The previous prime is 2420899813. The next prime is 2420899837. The reversal of 2420899824 is 4289980242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10390012 + ... + 10390244.

Almost surely, 22420899824 is an apocalyptic number.

2420899824 is a gapful number since it is divisible by the number (24) 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 2420899824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848217984).

2420899824 is an abundant number, since it is smaller than the sum of its proper divisors (5275536144).

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

2420899824 is a wasteful number, since it uses less digits than its factorization.

2420899824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2420899824 is about 49202.6404169532. The cubic root of 2420899824 is about 1342.7410706287.

The spelling of 2420899824 in words is "two billion, four hundred twenty million, eight hundred ninety-nine thousand, eight hundred twenty-four".