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2515304640 = 263547107521
BaseRepresentation
bin1001010111101100…
…1000000011000000
320111021222201022010
42111323020003000
520122404222030
61053331412520
7116221510452
oct22573100300
96437881263
102515304640
111080907672
125a2454140
1331115a654
1419c0b62d2
15eac506b0
hex95ec80c0

2515304640 has 224 divisors, whose sum is σ = 8248034304. Its totient is φ = 649093120.

The previous prime is 2515304591. The next prime is 2515304641. The reversal of 2515304640 is 464035152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2515304598 and 2515304607.

It is not an unprimeable number, because it can be changed into a prime (2515304641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4827580 + ... + 4828100.

Almost surely, 22515304640 is an apocalyptic number.

2515304640 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 2515304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124017152).

2515304640 is an abundant number, since it is smaller than the sum of its proper divisors (5732729664).

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

2515304640 is a wasteful number, since it uses less digits than its factorization.

2515304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2515304640 is about 50152.8128822302. The cubic root of 2515304640 is about 1359.9727214828.

Adding to 2515304640 its reverse (464035152), we get a palindrome (2979339792).

The spelling of 2515304640 in words is "two billion, five hundred fifteen million, three hundred four thousand, six hundred forty".