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2920220688384 = 2153817247
BaseRepresentation
bin101010011111101010101…
…101111000000000000000
3101100011121012102100000000
4222133222231320000000
5340321102444012014
610113310400000000
7420656535203616
oct52375255700000
911304535370000
102920220688384
11a265054a309a
123b1b60000000
131824b6346c3c
14a14a75a76b6
1550e65819509
hex2a7eab78000

2920220688384 has 864 divisors, whose sum is σ = 9503687522160. Its totient is φ = 896655163392.

The previous prime is 2920220688373. The next prime is 2920220688443. The reversal of 2920220688384 is 4838860220292.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2920220688384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 62132355049 + ... + 62132355095.

Almost surely, 22920220688384 is an apocalyptic number.

2920220688384 is a gapful number since it is divisible by the number (24) 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 2920220688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751843761080).

2920220688384 is an abundant number, since it is smaller than the sum of its proper divisors (6583466833776).

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

2920220688384 is an frugal number, since it uses more digits than its factorization.

2920220688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2920220688384 in words is "two trillion, nine hundred twenty billion, two hundred twenty million, six hundred eighty-eight thousand, three hundred eighty-four".