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2072992320 = 263257312107
BaseRepresentation
bin111101110001111…
…0101101001000000
312100110200220212100
41323203311221000
513221141223240
6541411230400
7102241100250
oct17343655100
95313626770
102072992320
119741718a3
1249a2a8400
13270622b99
14159459960
15c1ecee30
hex7b8f5a40

2072992320 has 504 divisors, whose sum is σ = 8498872512. Its totient is φ = 454256640.

The previous prime is 2072992319. The next prime is 2072992331. The reversal of 2072992320 is 232992702.

It is a happy number.

2072992320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19373707 + ... + 19373813.

Almost surely, 22072992320 is an apocalyptic number.

2072992320 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 2072992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249436256).

2072992320 is an abundant number, since it is smaller than the sum of its proper divisors (6425880192).

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

2072992320 is a wasteful number, since it uses less digits than its factorization.

2072992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2072992320 is about 45530.1254116437. The cubic root of 2072992320 is about 1275.0657036498.

The spelling of 2072992320 in words is "two billion, seventy-two million, nine hundred ninety-two thousand, three hundred twenty".