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2781048060 = 2233576779139
BaseRepresentation
bin1010010111000011…
…0110110011111100
321011211000212202000
42211300312303330
521143422014220
61135543302300
7125626342560
oct24560666374
97154025660
102781048060
1111a791362a
1265744a990
13354222b8b
141c54cd6a0
15114244390
hexa5c36cfc

2781048060 has 384 divisors, whose sum is σ = 10235904000. Its totient is φ = 613806336.

The previous prime is 2781048043. The next prime is 2781048073. The reversal of 2781048060 is 608401872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 20007471 + ... + 20007609.

It is an arithmetic number, because the mean of its divisors is an integer number (26656000).

Almost surely, 22781048060 is an apocalyptic number.

2781048060 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 2781048060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117952000).

2781048060 is an abundant number, since it is smaller than the sum of its proper divisors (7454855940).

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

2781048060 is a wasteful number, since it uses less digits than its factorization.

2781048060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2781048060 is about 52735.6431647515. The cubic root of 2781048060 is about 1406.2725450608.

The spelling of 2781048060 in words is "two billion, seven hundred eighty-one million, forty-eight thousand, sixty".