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2690656160 = 2553141101131
BaseRepresentation
bin1010000001100000…
…0010011110100000
320221111221111100212
42200120002132200
521002301444120
61122554033252
7123451125413
oct24030023640
96844844325
102690656160
111160894885
12631118828
1333b59474a
141b74bdb7a
1510b33b6c5
hexa06027a0

2690656160 has 192 divisors, whose sum is σ = 6840142848. Its totient is φ = 998400000.

The previous prime is 2690656153. The next prime is 2690656183. The reversal of 2690656160 is 616560962.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 20539295 + ... + 20539425.

It is an arithmetic number, because the mean of its divisors is an integer number (35625744).

Almost surely, 22690656160 is an apocalyptic number.

2690656160 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 2690656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420071424).

2690656160 is an abundant number, since it is smaller than the sum of its proper divisors (4149486688).

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

2690656160 is a wasteful number, since it uses less digits than its factorization.

2690656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2690656160 is about 51871.5351613966. The cubic root of 2690656160 is about 1390.8684874898.

The spelling of 2690656160 in words is "two billion, six hundred ninety million, six hundred fifty-six thousand, one hundred sixty".