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2220963079680 = 2935517232397
BaseRepresentation
bin100000010100011011101…
…101110010011000000000
321212022200201212022200000
4200110123231302120000
5242342013022022210
64420144002400000
7316313351456322
oct40243355623000
97768621768600
102220963079680
117869a5838024
122ba530060000
1313158893c4b7
14796d0b13612
153cb8ba09ac0
hex2051bb72600

2220963079680 has 1440 divisors, whose sum is σ = 8851339040544. Its totient is φ = 531839582208.

The previous prime is 2220963079661. The next prime is 2220963079747. The reversal of 2220963079680 is 869703690222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5594365242 + ... + 5594365638.

Almost surely, 22220963079680 is an apocalyptic number.

2220963079680 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 2220963079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425669520272).

2220963079680 is an abundant number, since it is smaller than the sum of its proper divisors (6630375960864).

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

2220963079680 is an equidigital number, since it uses as much as digits as its factorization.

2220963079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2220963079680 in words is "two trillion, two hundred twenty billion, nine hundred sixty-three million, seventy-nine thousand, six hundred eighty".