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2342265968640 = 211351315737357
BaseRepresentation
bin100010000101011001111…
…011100101100000000000
322021220210112122112211010
4202011121323211200000
5301333430041444030
64552004440320520
7331136351143653
oct42053173454000
98256715575733
102342265968640
11823393092984
12319b44173140
1313cb4aa33780
148151b0cd89a
1540ddb0716b0
hex22159ee5800

2342265968640 has 384 divisors, whose sum is σ = 8121455858880. Its totient is φ = 572870098944.

The previous prime is 2342265968597. The next prime is 2342265968681. The reversal of 2342265968640 is 468695622432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 62680842 + ... + 62718198.

Almost surely, 22342265968640 is an apocalyptic number.

2342265968640 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 2342265968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060727929440).

2342265968640 is an abundant number, since it is smaller than the sum of its proper divisors (5779189890240).

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

2342265968640 is a wasteful number, since it uses less digits than its factorization.

2342265968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37557 (or 37537 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 2342265968640 in words is "two trillion, three hundred forty-two billion, two hundred sixty-five million, nine hundred sixty-eight thousand, six hundred forty".