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2540070551040 = 293511127236749
BaseRepresentation
bin100100111101101000000…
…000001011111000000000
322222211100212212110112120
4210331220000023320000
5313104031030113130
65222520423124240
7351341213305401
oct44755000137000
98884325773476
102540070551040
1189a268674370
123503485a3680
131556b2266c79
148ad237a79a8
15461168d1910
hex24f6800be00

2540070551040 has 320 divisors, whose sum is σ = 8928285696000. Its totient is φ = 610923479040.

The previous prime is 2540070551017. The next prime is 2540070551069. The reversal of 2540070551040 is 401550700452.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2540070550992 and 2540070551010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10610586 + ... + 10847334.

It is an arithmetic number, because the mean of its divisors is an integer number (27900892800).

Almost surely, 22540070551040 is an apocalyptic number.

2540070551040 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 2540070551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464142848000).

2540070551040 is an abundant number, since it is smaller than the sum of its proper divisors (6388215144960).

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

2540070551040 is a wasteful number, since it uses less digits than its factorization.

2540070551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236913 (or 236897 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The spelling of 2540070551040 in words is "two trillion, five hundred forty billion, seventy million, five hundred fifty-one thousand, forty".