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2629440 = 263251183
BaseRepresentation
bin1010000001111101000000
311221120220200
422001331000
51133120230
6132205200
731231002
oct12017500
94846820
102629440
1115365a0
12a69800
13710aa8
144c6372
1536e160
hex281f40

2629440 has 168 divisors, whose sum is σ = 9985248. Its totient is φ = 629760.

The previous prime is 2629433. The next prime is 2629447. The reversal of 2629440 is 449262.

It is an interprime number because it is at equal distance from previous prime (2629433) and next prime (2629447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31639 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

22629440 is an apocalyptic number.

2629440 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 2629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

2629440 is an abundant number, since it is smaller than the sum of its proper divisors (7355808).

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

2629440 is a wasteful number, since it uses less digits than its factorization.

2629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2629440 is about 1621.5548094345. The cubic root of 2629440 is about 138.0239403960.

The spelling of 2629440 in words is "two million, six hundred twenty-nine thousand, four hundred forty".