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2640269940 = 22357311107109
BaseRepresentation
bin1001110101011111…
…0101001001110100
320211000010121110120
42131113311021310
520401402114230
61113554051540
7122266632000
oct23527651164
96730117416
102640269940
1111353aa980
12618279bb0
13331002609
141b0925700
15106bd7310
hex9d5f5274

2640269940 has 384 divisors, whose sum is σ = 9580032000. Its totient is φ = 538513920.

The previous prime is 2640269917. The next prime is 2640269941. The reversal of 2640269940 is 499620462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2640269892 and 2640269901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640269941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24222606 + ... + 24222714.

It is an arithmetic number, because the mean of its divisors is an integer number (24948000).

Almost surely, 22640269940 is an apocalyptic number.

2640269940 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 2640269940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016000).

2640269940 is an abundant number, since it is smaller than the sum of its proper divisors (6939762060).

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

2640269940 is a wasteful number, since it uses less digits than its factorization.

2640269940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2640269940 is about 51383.5570975774. The cubic root of 2640269940 is about 1382.1317504485.

The spelling of 2640269940 in words is "two billion, six hundred forty million, two hundred sixty-nine thousand, nine hundred forty".