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2342663648640 = 27345754111933
BaseRepresentation
bin100010000101110001101…
…000100111010110000000
322021221211020221210020000
4202011301220213112000
5301340233343224030
64552112124120000
7331152250313610
oct42056150472600
98257736853200
102342663648640
11823577613837
1231a035396000
1313cbb2242093
1481557c4ca40
1540e10e27860
hex22171a27580

2342663648640 has 640 divisors, whose sum is σ = 9579704397120. Its totient is φ = 534431416320.

The previous prime is 2342663648621. The next prime is 2342663648641. The reversal of 2342663648640 is 468463662432.

2342663648640 is a `hidden beast` number, since 2 + 34 + 2 + 66 + 36 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342663648641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196312114 + ... + 196324046.

Almost surely, 22342663648640 is an apocalyptic number.

2342663648640 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 2342663648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789852198560).

2342663648640 is an abundant number, since it is smaller than the sum of its proper divisors (7237040748480).

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

2342663648640 is a wasteful number, since it uses less digits than its factorization.

2342663648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 2342663648640 in words is "two trillion, three hundred forty-two billion, six hundred sixty-three million, six hundred forty-eight thousand, six hundred forty".