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2422010010240 = 273252953793463
BaseRepresentation
bin100011001111101011000…
…010111101101010000000
322120112122001010120220100
4203033223002331222000
5304140234030311430
65052353412042400
7336661444256112
oct43175302755200
98515561116810
102422010010240
11854194566697
1233149a303400
13147518b1aac2
1485323c7b3b2
1543006d30960
hex233eb0bda80

2422010010240 has 768 divisors, whose sum is σ = 8929305216000. Its totient is φ = 603912830976.

The previous prime is 2422010010181. The next prime is 2422010010307. The reversal of 2422010010240 is 420100102242.

2422010010240 is a `hidden beast` number, since 2 + 422 + 0 + 1 + 0 + 0 + 1 + 0 + 240 = 666.

It is a super-2 number, since 2×24220100102402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 699394749 + ... + 699398211.

It is an arithmetic number, because the mean of its divisors is an integer number (11626699500).

Almost surely, 22422010010240 is an apocalyptic number.

2422010010240 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 2422010010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464652608000).

2422010010240 is an abundant number, since it is smaller than the sum of its proper divisors (6507295205760).

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

2422010010240 is a wasteful number, since it uses less digits than its factorization.

2422010010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2422010010240 its reverse (420100102242), we get a palindrome (2842110112482).

The spelling of 2422010010240 in words is "two trillion, four hundred twenty-two billion, ten million, ten thousand, two hundred forty".