Search a number
-
+
2420077894080 = 263571197337517
BaseRepresentation
bin100011001101110111111…
…000100001100111000000
322120100122101111220210120
4203031313320201213000
5304122304420102310
65051433552100240
7336562533455310
oct43156770414700
98510571456716
102420077894080
11853392975180
1233103b234680
1314729b750cc2
14851bd413440
1542e423cbb70
hex23377e219c0

2420077894080 has 448 divisors, whose sum is σ = 9678525760512. Its totient is φ = 497687592960.

The previous prime is 2420077894067. The next prime is 2420077894097. The reversal of 2420077894080 is 804987700242.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7001482 + ... + 7338998.

It is an arithmetic number, because the mean of its divisors is an integer number (21603852144).

Almost surely, 22420077894080 is an apocalyptic number.

2420077894080 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 2420077894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839262880256).

2420077894080 is an abundant number, since it is smaller than the sum of its proper divisors (7258447866432).

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

2420077894080 is a wasteful number, since it uses less digits than its factorization.

2420077894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337652 (or 337642 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 2420077894080 in words is "two trillion, four hundred twenty billion, seventy-seven million, eight hundred ninety-four thousand, eighty".