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2493054720 = 283351331179
BaseRepresentation
bin1001010010011000…
…1111111100000000
320102202010022011000
42110212033330000
520101210222340
61051214452000
7115531421052
oct22446177400
96382108130
102493054720
11106a29aa02
12596b04000
1330966a110
141991638d2
15e8d07d30
hex9498ff00

2493054720 has 576 divisors, whose sum is σ = 9889689600. Its totient is φ = 590561280.

The previous prime is 2493054719. The next prime is 2493054721. The reversal of 2493054720 is 274503942.

2493054720 is a `hidden beast` number, since 2 + 4 + 93 + 0 + 547 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2493054719) and next prime (2493054721).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493054721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13927591 + ... + 13927769.

It is an arithmetic number, because the mean of its divisors is an integer number (17169600).

Almost surely, 22493054720 is an apocalyptic number.

2493054720 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 2493054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944844800).

2493054720 is an abundant number, since it is smaller than the sum of its proper divisors (7396634880).

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

2493054720 is a wasteful number, since it uses less digits than its factorization.

2493054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2493054720 is about 49930.4988959654. The cubic root of 2493054720 is about 1355.9508166044.

The spelling of 2493054720 in words is "two billion, four hundred ninety-three million, fifty-four thousand, seven hundred twenty".