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2102320640 = 29571767103
BaseRepresentation
bin111110101001110…
…1101111000000000
312102111212221202102
41331103231320000
513301143230030
6544340005532
7103045300460
oct17523557000
95374787672
102102320640
11989783682
124a80908a8
13276721214
1415d2d1ba0
15c4874c45
hex7d4ede00

2102320640 has 320 divisors, whose sum is σ = 6250742784. Its totient is φ = 661782528.

The previous prime is 2102320639. The next prime is 2102320663. The reversal of 2102320640 is 460232012.

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 (20).

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, 20410829 + ... + 20410931.

Almost surely, 22102320640 is an apocalyptic number.

2102320640 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 2102320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125371392).

2102320640 is an abundant number, since it is smaller than the sum of its proper divisors (4148422144).

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

2102320640 is a wasteful number, since it uses less digits than its factorization.

2102320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2102320640 is about 45851.0702165173. The cubic root of 2102320640 is about 1281.0506997874.

Adding to 2102320640 its reverse (460232012), we get a palindrome (2562552652).

The spelling of 2102320640 in words is "two billion, one hundred two million, three hundred twenty thousand, six hundred forty".