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2590285040 = 24572660787
BaseRepresentation
bin1001101001100100…
…1001110011110000
320200112002010001222
42122121021303300
520301103110130
61105010444212
7121122026300
oct23231116360
96615063058
102590285040
11110a16a542
12603593668
13323851055
141a8033600
15102611ce5
hex9a649cf0

2590285040 has 60 divisors (see below), whose sum is σ = 7005674376. Its totient is φ = 888096384.

The previous prime is 2590285039. The next prime is 2590285043. The reversal of 2590285040 is 405820952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590285043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326474 + ... + 334313.

Almost surely, 22590285040 is an apocalyptic number.

2590285040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590285040 is an abundant number, since it is smaller than the sum of its proper divisors (4415389336).

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

2590285040 is a wasteful number, since it uses less digits than its factorization.

2590285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660814 (or 660801 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2590285040 is about 50894.8429607559. The cubic root of 2590285040 is about 1373.3540706539.

The spelling of 2590285040 in words is "two billion, five hundred ninety million, two hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 660787 1321574 2643148 3303935 4625509 5286296 6607870 9251018 10572592 13215740 18502036 23127545 26431480 32378563 37004072 46255090 52862960 64757126 74008144 92510180 129514252 161892815 185020360 259028504 323785630 370040720 518057008 647571260 1295142520 2590285040