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2488213002240 = 2113657172801
BaseRepresentation
bin100100001101010101000…
…011010101100000000000
322210212111211202001000000
4210031111003111200000
5311231330012032430
65143022544000000
7344524144360440
oct44152503254000
98725454661000
102488213002240
1187a277410419
12342295600000
13150839707b54
14886044a0120
1544acde16e60
hex243550d5800

2488213002240 has 1344 divisors, whose sum is σ = 10835674274880. Its totient is φ = 535088332800.

The previous prime is 2488213002229. The next prime is 2488213002259. The reversal of 2488213002240 is 422003128842.

2488213002240 is a `hidden beast` number, since 2 + 488 + 2 + 130 + 0 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2488213002195 and 2488213002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 888328840 + ... + 888331640.

It is an arithmetic number, because the mean of its divisors is an integer number (8062257645).

Almost surely, 22488213002240 is an apocalyptic number.

2488213002240 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 2488213002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417837137440).

2488213002240 is an abundant number, since it is smaller than the sum of its proper divisors (8347461272640).

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

2488213002240 is an equidigital number, since it uses as much as digits as its factorization.

2488213002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2488213002240 in words is "two trillion, four hundred eighty-eight billion, two hundred thirteen million, two thousand, two hundred forty".