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2064390576 = 243232417759
BaseRepresentation
bin111101100001100…
…0001100110110000
312022212111220111020
41323003001212300
513211440444301
6540503015440
7102105013263
oct17303014660
95285456436
102064390576
1196a327216
1249743a580
1326b9008b1
1415825acda
15c1381436
hex7b0c19b0

2064390576 has 80 divisors (see below), whose sum is σ = 5588689920. Its totient is φ = 655395840.

The previous prime is 2064390571. The next prime is 2064390577. The reversal of 2064390576 is 6750934602.

It is a super-2 number, since 2×20643905762 = 8523416900555223552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064390571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262185 + ... + 269943.

It is an arithmetic number, because the mean of its divisors is an integer number (69858624).

Almost surely, 22064390576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064390576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794344960).

2064390576 is an abundant number, since it is smaller than the sum of its proper divisors (3524299344).

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

2064390576 is a wasteful number, since it uses less digits than its factorization.

2064390576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2064390576 is about 45435.5651004805. The cubic root of 2064390576 is about 1273.2996585364.

The spelling of 2064390576 in words is "two billion, sixty-four million, three hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 241 276 368 482 552 723 964 1104 1446 1928 2892 3856 5543 5784 7759 11086 11568 15518 16629 22172 23277 31036 33258 44344 46554 62072 66516 88688 93108 124144 133032 178457 186216 266064 356914 372432 535371 713828 1070742 1427656 1869919 2141484 2855312 3739838 4282968 5609757 7479676 8565936 11219514 14959352 22439028 29918704 43008137 44878056 86016274 89756112 129024411 172032548 258048822 344065096 516097644 688130192 1032195288 2064390576